What is the Greatest Common Factor of 52542 and 52557?

Greatest common factor (GCF) of 52542 and 52557 is 3.

GCF(52542,52557) = 3

We will now calculate the prime factors of 52542 and 52557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52542 and 52557.

How to find the GCF of 52542 and 52557?

We will first find the prime factorization of 52542 and 52557. After we will calculate the factors of 52542 and 52557 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52557

Prime factors of 52557 are 3, 17519. Prime factorization of 52557 in exponential form is:

52557 = 3¹ × 17519¹

Step-3: Factors of 52542

List of positive integer factors of 52542 that divides 52542 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

Step-4: Factors of 52557

List of positive integer factors of 52557 that divides 52542 without a remainder.

1, 3, 17519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52542 and 52557. The biggest common factor number is the GCF number.
So the greatest common factor 52542 and 52557 is 3.

Also check out the Least Common Multiple of 52542 and 52557