What is the Greatest Common Factor of 625 and 634?

Greatest common factor (GCF) of 625 and 634 is 1.

GCF(625,634) = 1

We will now calculate the prime factors of 625 and 634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 625 and 634.

How to find the GCF of 625 and 634?

We will first find the prime factorization of 625 and 634. After we will calculate the factors of 625 and 634 and find the biggest common factor number .

Step-1: Prime Factorization of 625

Prime factors of 625 are 5. Prime factorization of 625 in exponential form is:

625 = 5⁴

Step-2: Prime Factorization of 634

Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:

634 = 2¹ × 317¹

Step-3: Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1, 5, 25, 125

Step-4: Factors of 634

List of positive integer factors of 634 that divides 625 without a remainder.

1, 2, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 625 and 634. The biggest common factor number is the GCF number.
So the greatest common factor 625 and 634 is 1.

Also check out the Least Common Multiple of 625 and 634