What is the Greatest Common Factor of 52139 and 52156?

Greatest common factor (GCF) of 52139 and 52156 is 17.

GCF(52139,52156) = 17

We will now calculate the prime factors of 52139 and 52156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52139 and 52156.

How to find the GCF of 52139 and 52156?

We will first find the prime factorization of 52139 and 52156. After we will calculate the factors of 52139 and 52156 and find the biggest common factor number .

Step-1: Prime Factorization of 52139

Prime factors of 52139 are 17, 3067. Prime factorization of 52139 in exponential form is:

52139 = 17¹ × 3067¹

Step-2: Prime Factorization of 52156

Prime factors of 52156 are 2, 13, 17, 59. Prime factorization of 52156 in exponential form is:

52156 = 2² × 13¹ × 17¹ × 59¹

Step-3: Factors of 52139

List of positive integer factors of 52139 that divides 52139 without a remainder.

1, 17, 3067

Step-4: Factors of 52156

List of positive integer factors of 52156 that divides 52139 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 59, 68, 118, 221, 236, 442, 767, 884, 1003, 1534, 2006, 3068, 4012, 13039, 26078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52139 and 52156. The biggest common factor number is the GCF number.
So the greatest common factor 52139 and 52156 is 17.

Also check out the Least Common Multiple of 52139 and 52156