What is the Greatest Common Factor of 95251 and 95264?

Greatest common factor (GCF) of 95251 and 95264 is 13.

GCF(95251,95264) = 13

We will now calculate the prime factors of 95251 and 95264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95251 and 95264.

How to find the GCF of 95251 and 95264?

We will first find the prime factorization of 95251 and 95264. After we will calculate the factors of 95251 and 95264 and find the biggest common factor number .

Step-1: Prime Factorization of 95251

Prime factors of 95251 are 13, 17, 431. Prime factorization of 95251 in exponential form is:

95251 = 13¹ × 17¹ × 431¹

Step-2: Prime Factorization of 95264

Prime factors of 95264 are 2, 13, 229. Prime factorization of 95264 in exponential form is:

95264 = 2⁵ × 13¹ × 229¹

Step-3: Factors of 95251

List of positive integer factors of 95251 that divides 95251 without a remainder.

1, 13, 17, 221, 431, 5603, 7327

Step-4: Factors of 95264

List of positive integer factors of 95264 that divides 95251 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 229, 416, 458, 916, 1832, 2977, 3664, 5954, 7328, 11908, 23816, 47632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95251 and 95264. The biggest common factor number is the GCF number.
So the greatest common factor 95251 and 95264 is 13.

Also check out the Least Common Multiple of 95251 and 95264