What is the Greatest Common Factor of 52959 and 52974?

Greatest common factor (GCF) of 52959 and 52974 is 3.

GCF(52959,52974) = 3

We will now calculate the prime factors of 52959 and 52974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52959 and 52974.

How to find the GCF of 52959 and 52974?

We will first find the prime factorization of 52959 and 52974. After we will calculate the factors of 52959 and 52974 and find the biggest common factor number .

Step-1: Prime Factorization of 52959

Prime factors of 52959 are 3, 127, 139. Prime factorization of 52959 in exponential form is:

52959 = 3¹ × 127¹ × 139¹

Step-2: Prime Factorization of 52974

Prime factors of 52974 are 2, 3, 109. Prime factorization of 52974 in exponential form is:

52974 = 2¹ × 3⁵ × 109¹

Step-3: Factors of 52959

List of positive integer factors of 52959 that divides 52959 without a remainder.

1, 3, 127, 139, 381, 417, 17653

Step-4: Factors of 52974

List of positive integer factors of 52974 that divides 52959 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 109, 162, 218, 243, 327, 486, 654, 981, 1962, 2943, 5886, 8829, 17658, 26487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52959 and 52974. The biggest common factor number is the GCF number.
So the greatest common factor 52959 and 52974 is 3.

Also check out the Least Common Multiple of 52959 and 52974