What is the Greatest Common Factor of 91712 and 91724?

Greatest common factor (GCF) of 91712 and 91724 is 4.

GCF(91712,91724) = 4

We will now calculate the prime factors of 91712 and 91724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91712 and 91724.

How to find the GCF of 91712 and 91724?

We will first find the prime factorization of 91712 and 91724. After we will calculate the factors of 91712 and 91724 and find the biggest common factor number .

Step-1: Prime Factorization of 91712

Prime factors of 91712 are 2, 1433. Prime factorization of 91712 in exponential form is:

91712 = 2⁶ × 1433¹

Step-2: Prime Factorization of 91724

Prime factors of 91724 are 2, 23, 997. Prime factorization of 91724 in exponential form is:

91724 = 2² × 23¹ × 997¹

Step-3: Factors of 91712

List of positive integer factors of 91712 that divides 91712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1433, 2866, 5732, 11464, 22928, 45856

Step-4: Factors of 91724

List of positive integer factors of 91724 that divides 91712 without a remainder.

1, 2, 4, 23, 46, 92, 997, 1994, 3988, 22931, 45862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91712 and 91724. The biggest common factor number is the GCF number.
So the greatest common factor 91712 and 91724 is 4.

Also check out the Least Common Multiple of 91712 and 91724