What is the Greatest Common Factor of 91624 and 91628?

Greatest common factor (GCF) of 91624 and 91628 is 4.

GCF(91624,91628) = 4

We will now calculate the prime factors of 91624 and 91628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91624 and 91628.

How to find the GCF of 91624 and 91628?

We will first find the prime factorization of 91624 and 91628. After we will calculate the factors of 91624 and 91628 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 91628

Prime factors of 91628 are 2, 22907. Prime factorization of 91628 in exponential form is:

91628 = 2² × 22907¹

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 91628

List of positive integer factors of 91628 that divides 91624 without a remainder.

1, 2, 4, 22907, 45814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91624 and 91628. The biggest common factor number is the GCF number.
So the greatest common factor 91624 and 91628 is 4.

Also check out the Least Common Multiple of 91624 and 91628