What is GCF of 62 and 93?

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GCF of 62 and 93 is 31

How to find GCF of two numbers

Steps to find GCF of 62 and 93

Find all the numbers that would divide 62 and 93 without leaving any remainder as explained in factors below.
Find the greatest common factor from the list of factors for 62 and 93, and read off the answer!

Example: Find gcf of 62 and 93

Factors for 62: 1, 2, 31, 62
Factors for 93: 1, 3, 31, 93

Hence, GCf of 62 and 93 is 31

How do we define GCF?

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (62, 93).

Properties of GCF

Given two numbers 62 and 93, such that GCF is 31 where 31 will always be less than 62 and 93.
GCF of two numbers is always equal to 1 in case given numbers are consecutive.
The product of GCF and LCM of two given numbers is equal to the product of two numbers.
The GCF of two given numbers is either 1 or the number itself if one of them is a prime number.

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 62 and 93 are factors of themselves respectively.
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, 2, 31, 62 are exact divisors of 62 and 1, 3, 31, 93 are exact divisors of 93.
1 is a factor of every number. Eg. 1 is a factor of 62 and also of 93.
Every number is a factor of zero (0), since 62 x 0 = 0 and 93 x 0 = 0.

Steps to find Factors of 62 and 93

Step 1. Find all the numbers that would divide 62 and 93 without leaving any remainder. Starting with the number 1 upto 31 (half of 62) and 1 upto 46 (half of 93). The number 1 and the number itself are always factors of the given number.

62 ÷ 1 : Remainder = 0

93 ÷ 1 : Remainder = 0

62 ÷ 2 : Remainder = 0

93 ÷ 3 : Remainder = 0

62 ÷ 31 : Remainder = 0

93 ÷ 31 : Remainder = 0

62 ÷ 62 : Remainder = 0

93 ÷ 93 : Remainder = 0

Hence, Factors of 62 are 1, 2, 31, and 62

And, Factors of 93 are 1, 3, 31, and 93

Examples of GCF

Sammy baked 62 chocolate cookies and 93 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 62 and 93.
GCF of 62 and 93 is 31.

A class has 62 boys and 93 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 62 and 93. Hence, GCF of 62 and 93 is 31.

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(62, 93) = ( 62 * 93 ) / LCM(62, 93) = 31.

What is the GCF of 62 and 93?

GCF of 62 and 93 is 31.

Ariel is making ready to eat meals to share with friends. She has 62 bottles of water and 93 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?

The greatest number of boxes Ariel can make would be equal to GCF of 62 and 93. So the GCF of 62 and 93 is 31.

Mary has 62 blue buttons and 93 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 62 and 93. Hence, the GCF of 62 and 93 or the greatest arrangement is 31.

Kamal is making identical balloon arrangements for a party. He has 62 maroon balloons, and 93 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 62 and 93. So the GCF of 62 and 93 is 31.

Kunal is making baskets full of nuts and dried fruits. He has 62 bags of nuts and 93 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 62 and 93. So the GCF of 62 and 93 is 31.