What is the Greatest Common Factor of 91252 and 91264?

Greatest common factor (GCF) of 91252 and 91264 is 4.

GCF(91252,91264) = 4

We will now calculate the prime factors of 91252 and 91264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91252 and 91264.

How to find the GCF of 91252 and 91264?

We will first find the prime factorization of 91252 and 91264. After we will calculate the factors of 91252 and 91264 and find the biggest common factor number .

Step-1: Prime Factorization of 91252

Prime factors of 91252 are 2, 7, 3259. Prime factorization of 91252 in exponential form is:

91252 = 2² × 7¹ × 3259¹

Step-2: 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-3: Factors of 91252

List of positive integer factors of 91252 that divides 91252 without a remainder.

1, 2, 4, 7, 14, 28, 3259, 6518, 13036, 22813, 45626

Step-4: Factors of 91264

List of positive integer factors of 91264 that divides 91252 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91252 and 91264. The biggest common factor number is the GCF number.
So the greatest common factor 91252 and 91264 is 4.

Also check out the Least Common Multiple of 91252 and 91264