What is the Greatest Common Factor of 52947 and 52959?

Greatest common factor (GCF) of 52947 and 52959 is 3.

GCF(52947,52959) = 3

We will now calculate the prime factors of 52947 and 52959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52947 and 52959.

How to find the GCF of 52947 and 52959?

We will first find the prime factorization of 52947 and 52959. After we will calculate the factors of 52947 and 52959 and find the biggest common factor number .

Step-1: Prime Factorization of 52947

Prime factors of 52947 are 3, 37, 53. Prime factorization of 52947 in exponential form is:

52947 = 3³ × 37¹ × 53¹

Step-2: 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-3: Factors of 52947

List of positive integer factors of 52947 that divides 52947 without a remainder.

1, 3, 9, 27, 37, 53, 111, 159, 333, 477, 999, 1431, 1961, 5883, 17649

Step-4: Factors of 52959

List of positive integer factors of 52959 that divides 52947 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52947 and 52959. The biggest common factor number is the GCF number.
So the greatest common factor 52947 and 52959 is 3.

Also check out the Least Common Multiple of 52947 and 52959