What is the Greatest Common Factor of 52959 and 52977?

Greatest common factor (GCF) of 52959 and 52977 is 3.

GCF(52959,52977) = 3

We will now calculate the prime factors of 52959 and 52977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52959 and 52977.

How to find the GCF of 52959 and 52977?

We will first find the prime factorization of 52959 and 52977. After we will calculate the factors of 52959 and 52977 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 52977

Prime factors of 52977 are 3, 17659. Prime factorization of 52977 in exponential form is:

52977 = 3¹ × 17659¹

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 52977

List of positive integer factors of 52977 that divides 52959 without a remainder.

1, 3, 17659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52959 and 52977. The biggest common factor number is the GCF number.
So the greatest common factor 52959 and 52977 is 3.

Also check out the Least Common Multiple of 52959 and 52977