What is the Greatest Common Factor of 91611 and 91624?

Greatest common factor (GCF) of 91611 and 91624 is 13.

GCF(91611,91624) = 13

We will now calculate the prime factors of 91611 and 91624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91611 and 91624.

How to find the GCF of 91611 and 91624?

We will first find the prime factorization of 91611 and 91624. After we will calculate the factors of 91611 and 91624 and find the biggest common factor number .

Step-1: Prime Factorization of 91611

Prime factors of 91611 are 3, 13, 29. Prime factorization of 91611 in exponential form is:

91611 = 3⁵ × 13¹ × 29¹

Step-2: Prime Factorization of 91624

Prime factors of 91624 are 2, 13, 881. Prime factorization of 91624 in exponential form is:

91624 = 2³ × 13¹ × 881¹

Step-3: Factors of 91611

List of positive integer factors of 91611 that divides 91611 without a remainder.

1, 3, 9, 13, 27, 29, 39, 81, 87, 117, 243, 261, 351, 377, 783, 1053, 1131, 2349, 3159, 3393, 7047, 10179, 30537

Step-4: Factors of 91624

List of positive integer factors of 91624 that divides 91611 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 881, 1762, 3524, 7048, 11453, 22906, 45812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91611 and 91624. The biggest common factor number is the GCF number.
So the greatest common factor 91611 and 91624 is 13.

Also check out the Least Common Multiple of 91611 and 91624