What is the Greatest Common Factor of 91264 and 91268?

Greatest common factor (GCF) of 91264 and 91268 is 4.

GCF(91264,91268) = 4

We will now calculate the prime factors of 91264 and 91268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91264 and 91268.

How to find the GCF of 91264 and 91268?

We will first find the prime factorization of 91264 and 91268. After we will calculate the factors of 91264 and 91268 and find the biggest common factor number .

Step-1: Prime Factorization of 91264

Prime factors of 91264 are 2, 23, 31. Prime factorization of 91264 in exponential form is:

91264 = 2⁷ × 23¹ × 31¹

Step-2: Prime Factorization of 91268

Prime factors of 91268 are 2, 22817. Prime factorization of 91268 in exponential form is:

91268 = 2² × 22817¹

Step-3: Factors of 91264

List of positive integer factors of 91264 that divides 91264 without a remainder.

1, 2, 4, 8, 16, 23, 31, 32, 46, 62, 64, 92, 124, 128, 184, 248, 368, 496, 713, 736, 992, 1426, 1472, 1984, 2852, 2944, 3968, 5704, 11408, 22816, 45632

Step-4: Factors of 91268

List of positive integer factors of 91268 that divides 91264 without a remainder.

1, 2, 4, 22817, 45634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91264 and 91268. The biggest common factor number is the GCF number.
So the greatest common factor 91264 and 91268 is 4.

Also check out the Least Common Multiple of 91264 and 91268