What is the Greatest Common Factor of 60625 and 60635?

Greatest common factor (GCF) of 60625 and 60635 is 5.

GCF(60625,60635) = 5

We will now calculate the prime factors of 60625 and 60635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60625 and 60635.

How to find the GCF of 60625 and 60635?

We will first find the prime factorization of 60625 and 60635. After we will calculate the factors of 60625 and 60635 and find the biggest common factor number .

Step-1: Prime Factorization of 60625

Prime factors of 60625 are 5, 97. Prime factorization of 60625 in exponential form is:

60625 = 5⁴ × 97¹

Step-2: Prime Factorization of 60635

Prime factors of 60635 are 5, 67, 181. Prime factorization of 60635 in exponential form is:

60635 = 5¹ × 67¹ × 181¹

Step-3: Factors of 60625

List of positive integer factors of 60625 that divides 60625 without a remainder.

1, 5, 25, 97, 125, 485, 625, 2425, 12125

Step-4: Factors of 60635

List of positive integer factors of 60635 that divides 60625 without a remainder.

1, 5, 67, 181, 335, 905, 12127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60625 and 60635. The biggest common factor number is the GCF number.
So the greatest common factor 60625 and 60635 is 5.

Also check out the Least Common Multiple of 60625 and 60635