What is the Greatest Common Factor of 91572 and 91584?

Greatest common factor (GCF) of 91572 and 91584 is 12.

GCF(91572,91584) = 12

We will now calculate the prime factors of 91572 and 91584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91572 and 91584.

How to find the GCF of 91572 and 91584?

We will first find the prime factorization of 91572 and 91584. After we will calculate the factors of 91572 and 91584 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91584

Prime factors of 91584 are 2, 3, 53. Prime factorization of 91584 in exponential form is:

91584 = 2⁶ × 3³ × 53¹

Step-3: Factors of 91572

List of positive integer factors of 91572 that divides 91572 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

Step-4: Factors of 91584

List of positive integer factors of 91584 that divides 91572 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 64, 72, 96, 106, 108, 144, 159, 192, 212, 216, 288, 318, 424, 432, 477, 576, 636, 848, 864, 954, 1272, 1431, 1696, 1728, 1908, 2544, 2862, 3392, 3816, 5088, 5724, 7632, 10176, 11448, 15264, 22896, 30528, 45792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91572 and 91584. The biggest common factor number is the GCF number.
So the greatest common factor 91572 and 91584 is 12.

Also check out the Least Common Multiple of 91572 and 91584