What is The GCF of 48 and 72?
Greatest Common Factor of 48 and 72 is the largest possible number which divides 48 and 72 exactly without any remainder.
Answer: GCF of 48 and 72 is 24
Explanation:
We can find the GCF by the following methods
 Prime factorization Method
 Long division Method
GCF(48, 72) by Prime Factorization
Let us represent 48 and 72 as a product of their prime numbers:
Prime factorization of 48 is 2 × 2 × 2 × 2 × 3
Prime factorization of 72 is 2 × 2 × 2 × 3 × 3
Common factors in the prime factorization of 48 and 72 = 2, 2, 2, 3
GCF is the product of the prime factors that are common to prime factorization of 48 and 72
So, the GCF of 48 and 72 is 24
GCF(48, 72) by Long Division Method

Step 1: Divide 72 by 48 and check the remainder.

Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and GCF of 48 and 72 will be the last divisor.
You can find the GCF of 48 and 72 in any of the above methods but the solution will always remain the same.