What is the Greatest Common Factor of 91624 and 91637?

Greatest common factor (GCF) of 91624 and 91637 is 13.

GCF(91624,91637) = 13

We will now calculate the prime factors of 91624 and 91637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91624 and 91637.

How to find the GCF of 91624 and 91637?

We will first find the prime factorization of 91624 and 91637. After we will calculate the factors of 91624 and 91637 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91637

Prime factors of 91637 are 7, 13, 19, 53. Prime factorization of 91637 in exponential form is:

91637 = 7¹ × 13¹ × 19¹ × 53¹

Step-3: Factors of 91624

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

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

Step-4: Factors of 91637

List of positive integer factors of 91637 that divides 91624 without a remainder.

1, 7, 13, 19, 53, 91, 133, 247, 371, 689, 1007, 1729, 4823, 7049, 13091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91624 and 91637. The biggest common factor number is the GCF number.
So the greatest common factor 91624 and 91637 is 13.

Also check out the Least Common Multiple of 91624 and 91637