What is the Greatest Common Factor of 25612 and 25625?

Greatest common factor (GCF) of 25612 and 25625 is 1.

GCF(25612,25625) = 1

We will now calculate the prime factors of 25612 and 25625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25612 and 25625.

How to find the GCF of 25612 and 25625?

We will first find the prime factorization of 25612 and 25625. After we will calculate the factors of 25612 and 25625 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 25625

Prime factors of 25625 are 5, 41. Prime factorization of 25625 in exponential form is:

25625 = 5⁴ × 41¹

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 25625

List of positive integer factors of 25625 that divides 25612 without a remainder.

1, 5, 25, 41, 125, 205, 625, 1025, 5125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25612 and 25625. The biggest common factor number is the GCF number.
So the greatest common factor 25612 and 25625 is 1.

Also check out the Least Common Multiple of 25612 and 25625