What is the Greatest Common Factor of 91560 and 91572?

Greatest common factor (GCF) of 91560 and 91572 is 12.

GCF(91560,91572) = 12

We will now calculate the prime factors of 91560 and 91572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91560 and 91572.

How to find the GCF of 91560 and 91572?

We will first find the prime factorization of 91560 and 91572. After we will calculate the factors of 91560 and 91572 and find the biggest common factor number .

Step-1: Prime Factorization of 91560

Prime factors of 91560 are 2, 3, 5, 7, 109. Prime factorization of 91560 in exponential form is:

91560 = 2³ × 3¹ × 5¹ × 7¹ × 109¹

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 91560

List of positive integer factors of 91560 that divides 91560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 109, 120, 140, 168, 210, 218, 280, 327, 420, 436, 545, 654, 763, 840, 872, 1090, 1308, 1526, 1635, 2180, 2289, 2616, 3052, 3270, 3815, 4360, 4578, 6104, 6540, 7630, 9156, 11445, 13080, 15260, 18312, 22890, 30520, 45780

Step-4: Factors of 91572

List of positive integer factors of 91572 that divides 91560 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 91560 and 91572. The biggest common factor number is the GCF number.
So the greatest common factor 91560 and 91572 is 12.

Also check out the Least Common Multiple of 91560 and 91572