What is the Greatest Common Factor of 52612 and 52626?

Greatest common factor (GCF) of 52612 and 52626 is 14.

GCF(52612,52626) = 14

We will now calculate the prime factors of 52612 and 52626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52612 and 52626.

How to find the GCF of 52612 and 52626?

We will first find the prime factorization of 52612 and 52626. After we will calculate the factors of 52612 and 52626 and find the biggest common factor number .

Step-1: Prime Factorization of 52612

Prime factors of 52612 are 2, 7, 1879. Prime factorization of 52612 in exponential form is:

52612 = 2² × 7¹ × 1879¹

Step-2: Prime Factorization of 52626

Prime factors of 52626 are 2, 3, 7, 179. Prime factorization of 52626 in exponential form is:

52626 = 2¹ × 3¹ × 7² × 179¹

Step-3: Factors of 52612

List of positive integer factors of 52612 that divides 52612 without a remainder.

1, 2, 4, 7, 14, 28, 1879, 3758, 7516, 13153, 26306

Step-4: Factors of 52626

List of positive integer factors of 52626 that divides 52612 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 179, 294, 358, 537, 1074, 1253, 2506, 3759, 7518, 8771, 17542, 26313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52612 and 52626. The biggest common factor number is the GCF number.
So the greatest common factor 52612 and 52626 is 14.

Also check out the Least Common Multiple of 52612 and 52626