What is the Greatest Common Factor of 25612 and 25631?

Greatest common factor (GCF) of 25612 and 25631 is 19.

GCF(25612,25631) = 19

We will now calculate the prime factors of 25612 and 25631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25612 and 25631.

How to find the GCF of 25612 and 25631?

We will first find the prime factorization of 25612 and 25631. After we will calculate the factors of 25612 and 25631 and find the biggest common factor number .

Step-1: Prime Factorization of 25612

Prime factors of 25612 are 2, 19, 337. Prime factorization of 25612 in exponential form is:

25612 = 2² × 19¹ × 337¹

Step-2: Prime Factorization of 25631

Prime factors of 25631 are 19, 71. Prime factorization of 25631 in exponential form is:

25631 = 19² × 71¹

Step-3: Factors of 25612

List of positive integer factors of 25612 that divides 25612 without a remainder.

1, 2, 4, 19, 38, 76, 337, 674, 1348, 6403, 12806

Step-4: Factors of 25631

List of positive integer factors of 25631 that divides 25612 without a remainder.

1, 19, 71, 361, 1349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25612 and 25631. The biggest common factor number is the GCF number.
So the greatest common factor 25612 and 25631 is 19.

Also check out the Least Common Multiple of 25612 and 25631