What is the Greatest Common Factor of 52536 and 52548?

Greatest common factor (GCF) of 52536 and 52548 is 12.

GCF(52536,52548) = 12

We will now calculate the prime factors of 52536 and 52548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52536 and 52548.

How to find the GCF of 52536 and 52548?

We will first find the prime factorization of 52536 and 52548. After we will calculate the factors of 52536 and 52548 and find the biggest common factor number .

Step-1: Prime Factorization of 52536

Prime factors of 52536 are 2, 3, 11, 199. Prime factorization of 52536 in exponential form is:

52536 = 2³ × 3¹ × 11¹ × 199¹

Step-2: Prime Factorization of 52548

Prime factors of 52548 are 2, 3, 29, 151. Prime factorization of 52548 in exponential form is:

52548 = 2² × 3¹ × 29¹ × 151¹

Step-3: Factors of 52536

List of positive integer factors of 52536 that divides 52536 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 199, 264, 398, 597, 796, 1194, 1592, 2189, 2388, 4378, 4776, 6567, 8756, 13134, 17512, 26268

Step-4: Factors of 52548

List of positive integer factors of 52548 that divides 52536 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 151, 174, 302, 348, 453, 604, 906, 1812, 4379, 8758, 13137, 17516, 26274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52536 and 52548. The biggest common factor number is the GCF number.
So the greatest common factor 52536 and 52548 is 12.

Also check out the Least Common Multiple of 52536 and 52548