GCF of 48 and 72 is 24

- Find all the numbers that would divide 48 and 72 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 48 and 72, and read off the answer!

- Factors for
**48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48** - Factors for
**72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72**

Hence, GCf of
*48*
and
*72*
is **24**

Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (48, 72).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 48 and 72 is 24, where 24 is less than both 48 and 72.
- GCF of two consecutive numbers is always 1.
- The product of GCF and LCM of two given numbers is equal to the product of two numbers.
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 48 and 72 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 48 and also of 72.
- Every number is a factor of zero (0), since 48 x 0 = 0 and 72 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, 2, 3, 4, 6, 8, 12, 16, 24, 48 are exact divisors of 48 and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 are exact divisors of 72.
- Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Each factor divides 48 without leaving a remainder.

Simlarly, factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. Each factor divides 72 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 are all less than or equal to 48 and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 are all less than or equal to 72.

**Step 1.**Find all the numbers that would divide 48 and 72 without leaving any remainder. Starting with the number 1 upto 24 (half of 48) and 1 upto 36 (half of 72). The number 1 and the number itself are always factors of the given number.48 ÷ 1 : Remainder = 072 ÷ 1 : Remainder = 048 ÷ 2 : Remainder = 072 ÷ 2 : Remainder = 048 ÷ 3 : Remainder = 072 ÷ 3 : Remainder = 048 ÷ 4 : Remainder = 072 ÷ 4 : Remainder = 048 ÷ 6 : Remainder = 072 ÷ 6 : Remainder = 048 ÷ 8 : Remainder = 072 ÷ 8 : Remainder = 048 ÷ 12 : Remainder = 072 ÷ 9 : Remainder = 048 ÷ 16 : Remainder = 072 ÷ 12 : Remainder = 048 ÷ 24 : Remainder = 072 ÷ 18 : Remainder = 048 ÷ 48 : Remainder = 072 ÷ 24 : Remainder = 072 ÷ 36 : Remainder = 072 ÷ 72 : Remainder = 0

Hence, Factors of
*48* are **1, 2, 3, 4, 6, 8, 12, 16, 24, and 48**

And, Factors of
*72* are **1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72**

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 48 and 72.

GCF of 48 and 72 is 24.

To find the greatest number of students that could be in each row, we need to find the GCF of 48 and 72. Hence, GCF of 48 and 72 is 24.

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.

To find the greatest number of tables that Ram can stock we need to find the GCF of 48 and 72. Hence GCF of 48 and 72 is 24. So the number of tables that can be arranged is 24.

The greatest number of boxes Ariel can make would be equal to GCF of 48 and 72. So the GCF of 48 and 72 is 24.

Greatest possible way in which Mary can arrange them in groups would be GCF of 48 and 72. Hence, the GCF of 48 and 72 or the greatest arrangement is 24.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 48 and 72. So the GCF of 48 and 72 is 24.

the greatest number of baskets that Kunal can make would be equal to GCF of 48 and 72. So the GCF of 48 and 72 is 24.

To make the greatest number of envelopes Abir needs to find out the GCF of 48 and 72. Hence, GCF of 48 and 72 is 24.