What is the GCF of 32 and 80?
The GCF of two natural numbers x and y is the largest possible number which divides both x and y.
Answer: GCF of 32 and 80 is 16
Let's find the GCF of 32 and 80
Explanation:
We can find the GCF by the following methods
GCF of 32 and 80 by Prime Factorization
Here we represent 32 and 80 as a product of their prime numbers:
Prime factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime factorization of 80 is 2 x 2 x 2 x 2 x 5
Common factors = 2, 2, 2, 2
GCF is the product of the factors that are common to each of the given numbers.
GCF is 2 x 2 x 2 x 2 = 16
GCF of 32 and 80 by Long Division Method

Step 1: Divide 32 by 80 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 until the remainder becomes 0.
Thus, GCF of 32 and 80 is 16.