What is the Greatest Common Factor of 53139 and 53157?

Greatest common factor (GCF) of 53139 and 53157 is 3.

GCF(53139,53157) = 3

We will now calculate the prime factors of 53139 and 53157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53139 and 53157.

How to find the GCF of 53139 and 53157?

We will first find the prime factorization of 53139 and 53157. After we will calculate the factors of 53139 and 53157 and find the biggest common factor number .

Step-1: Prime Factorization of 53139

Prime factors of 53139 are 3, 17713. Prime factorization of 53139 in exponential form is:

53139 = 3¹ × 17713¹

Step-2: Prime Factorization of 53157

Prime factors of 53157 are 3, 13, 29, 47. Prime factorization of 53157 in exponential form is:

53157 = 3¹ × 13¹ × 29¹ × 47¹

Step-3: Factors of 53139

List of positive integer factors of 53139 that divides 53139 without a remainder.

1, 3, 17713

Step-4: Factors of 53157

List of positive integer factors of 53157 that divides 53139 without a remainder.

1, 3, 13, 29, 39, 47, 87, 141, 377, 611, 1131, 1363, 1833, 4089, 17719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53139 and 53157. The biggest common factor number is the GCF number.
So the greatest common factor 53139 and 53157 is 3.

Also check out the Least Common Multiple of 53139 and 53157