What is the Greatest Common Factor of 91696 and 91712?

Greatest common factor (GCF) of 91696 and 91712 is 16.

GCF(91696,91712) = 16

We will now calculate the prime factors of 91696 and 91712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91696 and 91712.

How to find the GCF of 91696 and 91712?

We will first find the prime factorization of 91696 and 91712. After we will calculate the factors of 91696 and 91712 and find the biggest common factor number .

Step-1: Prime Factorization of 91696

Prime factors of 91696 are 2, 11, 521. Prime factorization of 91696 in exponential form is:

91696 = 2⁴ × 11¹ × 521¹

Step-2: Prime Factorization of 91712

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

91712 = 2⁶ × 1433¹

Step-3: Factors of 91696

List of positive integer factors of 91696 that divides 91696 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 521, 1042, 2084, 4168, 5731, 8336, 11462, 22924, 45848

Step-4: Factors of 91712

List of positive integer factors of 91712 that divides 91696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91696 and 91712. The biggest common factor number is the GCF number.
So the greatest common factor 91696 and 91712 is 16.

Also check out the Least Common Multiple of 91696 and 91712