What is the Greatest Common Factor of 31598 and 31612?

Greatest common factor (GCF) of 31598 and 31612 is 14.

GCF(31598,31612) = 14

We will now calculate the prime factors of 31598 and 31612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31598 and 31612.

How to find the GCF of 31598 and 31612?

We will first find the prime factorization of 31598 and 31612. After we will calculate the factors of 31598 and 31612 and find the biggest common factor number .

Step-1: Prime Factorization of 31598

Prime factors of 31598 are 2, 7, 37, 61. Prime factorization of 31598 in exponential form is:

31598 = 2¹ × 7¹ × 37¹ × 61¹

Step-2: 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-3: Factors of 31598

List of positive integer factors of 31598 that divides 31598 without a remainder.

1, 2, 7, 14, 37, 61, 74, 122, 259, 427, 518, 854, 2257, 4514, 15799

Step-4: Factors of 31612

List of positive integer factors of 31612 that divides 31598 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31598 and 31612. The biggest common factor number is the GCF number.
So the greatest common factor 31598 and 31612 is 14.

Also check out the Least Common Multiple of 31598 and 31612