What is the Greatest Common Factor of 91312 and 91325?

Greatest common factor (GCF) of 91312 and 91325 is 13.

GCF(91312,91325) = 13

We will now calculate the prime factors of 91312 and 91325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91312 and 91325.

How to find the GCF of 91312 and 91325?

We will first find the prime factorization of 91312 and 91325. After we will calculate the factors of 91312 and 91325 and find the biggest common factor number .

Step-1: Prime Factorization of 91312

Prime factors of 91312 are 2, 13, 439. Prime factorization of 91312 in exponential form is:

91312 = 2⁴ × 13¹ × 439¹

Step-2: Prime Factorization of 91325

Prime factors of 91325 are 5, 13, 281. Prime factorization of 91325 in exponential form is:

91325 = 5² × 13¹ × 281¹

Step-3: Factors of 91312

List of positive integer factors of 91312 that divides 91312 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 439, 878, 1756, 3512, 5707, 7024, 11414, 22828, 45656

Step-4: Factors of 91325

List of positive integer factors of 91325 that divides 91312 without a remainder.

1, 5, 13, 25, 65, 281, 325, 1405, 3653, 7025, 18265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91312 and 91325. The biggest common factor number is the GCF number.
So the greatest common factor 91312 and 91325 is 13.

Also check out the Least Common Multiple of 91312 and 91325