What is the Greatest Common Factor of 91566 and 91572?

Greatest common factor (GCF) of 91566 and 91572 is 6.

GCF(91566,91572) = 6

We will now calculate the prime factors of 91566 and 91572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91566 and 91572.

How to find the GCF of 91566 and 91572?

We will first find the prime factorization of 91566 and 91572. After we will calculate the factors of 91566 and 91572 and find the biggest common factor number .

Step-1: Prime Factorization of 91566

Prime factors of 91566 are 2, 3, 5087. Prime factorization of 91566 in exponential form is:

91566 = 2¹ × 3² × 5087¹

Step-2: Prime Factorization of 91572

Prime factors of 91572 are 2, 3, 13, 587. Prime factorization of 91572 in exponential form is:

91572 = 2² × 3¹ × 13¹ × 587¹

Step-3: Factors of 91566

List of positive integer factors of 91566 that divides 91566 without a remainder.

1, 2, 3, 6, 9, 18, 5087, 10174, 15261, 30522, 45783

Step-4: Factors of 91572

List of positive integer factors of 91572 that divides 91566 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 587, 1174, 1761, 2348, 3522, 7044, 7631, 15262, 22893, 30524, 45786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91566 and 91572. The biggest common factor number is the GCF number.
So the greatest common factor 91566 and 91572 is 6.

Also check out the Least Common Multiple of 91566 and 91572