What is the Greatest Common Factor of 31612 and 31626?

Greatest common factor (GCF) of 31612 and 31626 is 14.

GCF(31612,31626) = 14

We will now calculate the prime factors of 31612 and 31626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31612 and 31626.

How to find the GCF of 31612 and 31626?

We will first find the prime factorization of 31612 and 31626. After we will calculate the factors of 31612 and 31626 and find the biggest common factor number .

Step-1: Prime Factorization of 31612

Prime factors of 31612 are 2, 7, 1129. Prime factorization of 31612 in exponential form is:

31612 = 2² × 7¹ × 1129¹

Step-2: Prime Factorization of 31626

Prime factors of 31626 are 2, 3, 7, 251. Prime factorization of 31626 in exponential form is:

31626 = 2¹ × 3² × 7¹ × 251¹

Step-3: Factors of 31612

List of positive integer factors of 31612 that divides 31612 without a remainder.

1, 2, 4, 7, 14, 28, 1129, 2258, 4516, 7903, 15806

Step-4: Factors of 31626

List of positive integer factors of 31626 that divides 31612 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 251, 502, 753, 1506, 1757, 2259, 3514, 4518, 5271, 10542, 15813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31612 and 31626. The biggest common factor number is the GCF number.
So the greatest common factor 31612 and 31626 is 14.

Also check out the Least Common Multiple of 31612 and 31626