What is the Greatest Common Factor of 91548 and 91560?

Greatest common factor (GCF) of 91548 and 91560 is 12.

GCF(91548,91560) = 12

We will now calculate the prime factors of 91548 and 91560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91548 and 91560.

How to find the GCF of 91548 and 91560?

We will first find the prime factorization of 91548 and 91560. After we will calculate the factors of 91548 and 91560 and find the biggest common factor number .

Step-1: Prime Factorization of 91548

Prime factors of 91548 are 2, 3, 2543. Prime factorization of 91548 in exponential form is:

91548 = 2² × 3² × 2543¹

Step-2: 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-3: Factors of 91548

List of positive integer factors of 91548 that divides 91548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2543, 5086, 7629, 10172, 15258, 22887, 30516, 45774

Step-4: Factors of 91560

List of positive integer factors of 91560 that divides 91548 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91548 and 91560. The biggest common factor number is the GCF number.
So the greatest common factor 91548 and 91560 is 12.

Also check out the Least Common Multiple of 91548 and 91560