What is the Greatest Common Factor of 25625 and 25639?

Greatest common factor (GCF) of 25625 and 25639 is 1.

GCF(25625,25639) = 1

We will now calculate the prime factors of 25625 and 25639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25625 and 25639.

How to find the GCF of 25625 and 25639?

We will first find the prime factorization of 25625 and 25639. After we will calculate the factors of 25625 and 25639 and find the biggest common factor number .

Step-1: Prime Factorization of 25625

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

25625 = 5⁴ × 41¹

Step-2: Prime Factorization of 25639

Prime factors of 25639 are 25639. Prime factorization of 25639 in exponential form is:

25639 = 25639¹

Step-3: Factors of 25625

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

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

Step-4: Factors of 25639

List of positive integer factors of 25639 that divides 25625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25625 and 25639. The biggest common factor number is the GCF number.
So the greatest common factor 25625 and 25639 is 1.

Also check out the Least Common Multiple of 25625 and 25639