What is the Greatest Common Factor of 91624 and 91634?

Greatest common factor (GCF) of 91624 and 91634 is 2.

GCF(91624,91634) = 2

We will now calculate the prime factors of 91624 and 91634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91624 and 91634.

How to find the GCF of 91624 and 91634?

We will first find the prime factorization of 91624 and 91634. After we will calculate the factors of 91624 and 91634 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 91634

Prime factors of 91634 are 2, 45817. Prime factorization of 91634 in exponential form is:

91634 = 2¹ × 45817¹

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 91634

List of positive integer factors of 91634 that divides 91624 without a remainder.

1, 2, 45817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91624 and 91634. The biggest common factor number is the GCF number.
So the greatest common factor 91624 and 91634 is 2.

Also check out the Least Common Multiple of 91624 and 91634