What is the Greatest Common Factor of 59612 and 59626?

Greatest common factor (GCF) of 59612 and 59626 is 14.

GCF(59612,59626) = 14

We will now calculate the prime factors of 59612 and 59626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59612 and 59626.

How to find the GCF of 59612 and 59626?

We will first find the prime factorization of 59612 and 59626. After we will calculate the factors of 59612 and 59626 and find the biggest common factor number .

Step-1: Prime Factorization of 59612

Prime factors of 59612 are 2, 7, 2129. Prime factorization of 59612 in exponential form is:

59612 = 2² × 7¹ × 2129¹

Step-2: Prime Factorization of 59626

Prime factors of 59626 are 2, 7, 4259. Prime factorization of 59626 in exponential form is:

59626 = 2¹ × 7¹ × 4259¹

Step-3: Factors of 59612

List of positive integer factors of 59612 that divides 59612 without a remainder.

1, 2, 4, 7, 14, 28, 2129, 4258, 8516, 14903, 29806

Step-4: Factors of 59626

List of positive integer factors of 59626 that divides 59612 without a remainder.

1, 2, 7, 14, 4259, 8518, 29813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59612 and 59626. The biggest common factor number is the GCF number.
So the greatest common factor 59612 and 59626 is 14.

Also check out the Least Common Multiple of 59612 and 59626