What is the Greatest Common Factor of 52536 and 52542?

Greatest common factor (GCF) of 52536 and 52542 is 6.

GCF(52536,52542) = 6

We will now calculate the prime factors of 52536 and 52542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52536 and 52542.

How to find the GCF of 52536 and 52542?

We will first find the prime factorization of 52536 and 52542. After we will calculate the factors of 52536 and 52542 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 52542

Prime factors of 52542 are 2, 3, 7, 139. Prime factorization of 52542 in exponential form is:

52542 = 2¹ × 3³ × 7¹ × 139¹

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 52542

List of positive integer factors of 52542 that divides 52536 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 139, 189, 278, 378, 417, 834, 973, 1251, 1946, 2502, 2919, 3753, 5838, 7506, 8757, 17514, 26271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52536 and 52542. The biggest common factor number is the GCF number.
So the greatest common factor 52536 and 52542 is 6.

Also check out the Least Common Multiple of 52536 and 52542