What is the Greatest Common Factor of 52156 and 52169?

Greatest common factor (GCF) of 52156 and 52169 is 13.

GCF(52156,52169) = 13

We will now calculate the prime factors of 52156 and 52169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52156 and 52169.

How to find the GCF of 52156 and 52169?

We will first find the prime factorization of 52156 and 52169. After we will calculate the factors of 52156 and 52169 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52169

Prime factors of 52169 are 13, 4013. Prime factorization of 52169 in exponential form is:

52169 = 13¹ × 4013¹

Step-3: Factors of 52156

List of positive integer factors of 52156 that divides 52156 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

Step-4: Factors of 52169

List of positive integer factors of 52169 that divides 52156 without a remainder.

1, 13, 4013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52156 and 52169. The biggest common factor number is the GCF number.
So the greatest common factor 52156 and 52169 is 13.

Also check out the Least Common Multiple of 52156 and 52169