What is the Greatest Common Factor of 91312 and 91316?

Greatest common factor (GCF) of 91312 and 91316 is 4.

GCF(91312,91316) = 4

We will now calculate the prime factors of 91312 and 91316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91312 and 91316.

How to find the GCF of 91312 and 91316?

We will first find the prime factorization of 91312 and 91316. After we will calculate the factors of 91312 and 91316 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 91316

Prime factors of 91316 are 2, 37, 617. Prime factorization of 91316 in exponential form is:

91316 = 2² × 37¹ × 617¹

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 91316

List of positive integer factors of 91316 that divides 91312 without a remainder.

1, 2, 4, 37, 74, 148, 617, 1234, 2468, 22829, 45658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91312 and 91316. The biggest common factor number is the GCF number.
So the greatest common factor 91312 and 91316 is 4.

Also check out the Least Common Multiple of 91312 and 91316