What is GCF of 31 and 32?

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GCF of 31 and 32 is 1

How to find GCF of two numbers

Steps to find GCF of 31 and 32

Find all the numbers that would divide 31 and 32 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 31 and 32, and read off the answer!

Example: Find gcf of 31 and 32

Factors for 31: 1, 31
Factors for 32: 1, 2, 4, 8, 16, 32

Hence, GCf of 31 and 32 is 1

What is GCF of two numbers?

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (31, 32).

Properties of GCF

The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.
GCF of two consecutive numbers is always 1.
Given two numbers 31 and 32, such that GCF is 1 where 1 will always be less than 31 and 32.
Product of two numbers is always equal to the product of their GCF and LCM.

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

Every number is a factor of zero (0), since 31 x 0 = 0 and 32 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 31 are exact divisors of 31 and 1, 2, 4, 8, 16, 32 are exact divisors of 32.
Factors of 31 are 1, 31. Each factor divides 31 without leaving a remainder.
Simlarly, factors of 32 are 1, 2, 4, 8, 16, 32. Each factor divides 32 without leaving a remainder.

Steps to find Factors of 31 and 32

Step 1. Find all the numbers that would divide 31 and 32 without leaving any remainder. Starting with the number 1 upto 15 (half of 31) and 1 upto 16 (half of 32). The number 1 and the number itself are always factors of the given number.

31 ÷ 1 : Remainder = 0

32 ÷ 1 : Remainder = 0

31 ÷ 31 : Remainder = 0

32 ÷ 2 : Remainder = 0

32 ÷ 4 : Remainder = 0

32 ÷ 8 : Remainder = 0

32 ÷ 16 : Remainder = 0

32 ÷ 32 : Remainder = 0

Hence, Factors of 31 are 1 and 31

And, Factors of 32 are 1, 2, 4, 8, 16, and 32

Examples of GCF

Sammy baked 31 chocolate cookies and 32 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 31 and 32.
GCF of 31 and 32 is 1.

A class has 31 boys and 32 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?

To find the greatest number of students that could be in each row, we need to find the GCF of 31 and 32. Hence, GCF of 31 and 32 is 1.

What is the difference between GCF and LCM?

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

What is the relation between LCM and GCF (Greatest Common Factor)?

GCF and LCM of two numbers can be related as GCF(31, 32) = ( 31 * 32 ) / LCM(31, 32) = 1.

What is the GCF of 31 and 32?

GCF of 31 and 32 is 1.

Mary has 31 blue buttons and 32 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?

Greatest possible way in which Mary can arrange them in groups would be GCF of 31 and 32. Hence, the GCF of 31 and 32 or the greatest arrangement is 1.

Kamal is making identical balloon arrangements for a party. He has 31 maroon balloons, and 32 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 31 and 32. So the GCF of 31 and 32 is 1.

Kunal is making baskets full of nuts and dried fruits. He has 31 bags of nuts and 32 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?

the greatest number of baskets that Kunal can make would be equal to GCF of 31 and 32. So the GCF of 31 and 32 is 1.

To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 31 bus tickets and 32 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?

To make the greatest number of envelopes Abir needs to find out the GCF of 31 and 32. Hence, GCF of 31 and 32 is 1.