GCF of 56 and 72 is 8

- Find all the numbers that would divide 56 and 72 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 56 and 72, and read off the answer!

- Factors for
**56: 1, 2, 4, 7, 8, 14, 28, 56** - Factors for
**72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72**

Hence, GCf of
*56*
and
*72*
is **8**

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 (56, 72).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 56 and 72 is 8, where 8 is less than both 56 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 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.

- Each number is a factor of itself. Eg. 56 and 72 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 56 and also of 72.
- Every number is a factor of zero (0), since 56 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, 4, 7, 8, 14, 28, 56 are exact divisors of 56 and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 are exact divisors of 72.
- Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. Each factor divides 56 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, 4, 7, 8, 14, 28, 56 are all less than or equal to 56 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 56 and 72 without leaving any remainder. Starting with the number 1 upto 28 (half of 56) and 1 upto 36 (half of 72). The number 1 and the number itself are always factors of the given number.56 ÷ 1 : Remainder = 072 ÷ 1 : Remainder = 056 ÷ 2 : Remainder = 072 ÷ 2 : Remainder = 056 ÷ 4 : Remainder = 072 ÷ 3 : Remainder = 056 ÷ 7 : Remainder = 072 ÷ 4 : Remainder = 056 ÷ 8 : Remainder = 072 ÷ 6 : Remainder = 056 ÷ 14 : Remainder = 072 ÷ 8 : Remainder = 056 ÷ 28 : Remainder = 072 ÷ 9 : Remainder = 056 ÷ 56 : Remainder = 072 ÷ 12 : Remainder = 072 ÷ 18 : Remainder = 072 ÷ 24 : Remainder = 072 ÷ 36 : Remainder = 072 ÷ 72 : Remainder = 0

Hence, Factors of
*56* are **1, 2, 4, 7, 8, 14, 28, and 56**

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

To find the greatest number of students that could be in each row, we need to find the GCF of 56 and 72. Hence, GCF of 56 and 72 is 8.

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.

GCF and LCM of two numbers can be related as GCF(56, 72) = ( 56 * 72 ) / LCM(56, 72) = 8.

GCF of 56 and 72 is 8.

To find the greatest number of tables that Ram can stock we need to find the GCF of 56 and 72. Hence GCF of 56 and 72 is 8. So the number of tables that can be arranged is 8.

The greatest number of servings Rubel can create would be equal to the GCF of 56 and 72. Thus GCF of 56 and 72 is 8.

The greatest number of boxes Ariel can make would be equal to GCF of 56 and 72. So the GCF of 56 and 72 is 8.

Greatest possible way in which Mary can arrange them in groups would be GCF of 56 and 72. Hence, the GCF of 56 and 72 or the greatest arrangement is 8.

the greatest number of baskets that Kunal can make would be equal to GCF of 56 and 72. So the GCF of 56 and 72 is 8.