What is the Greatest Common Factor of 60625 and 60645?

Greatest common factor (GCF) of 60625 and 60645 is 5.

GCF(60625,60645) = 5

We will now calculate the prime factors of 60625 and 60645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60625 and 60645.

How to find the GCF of 60625 and 60645?

We will first find the prime factorization of 60625 and 60645. After we will calculate the factors of 60625 and 60645 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 60645

Prime factors of 60645 are 3, 5, 13, 311. Prime factorization of 60645 in exponential form is:

60645 = 3¹ × 5¹ × 13¹ × 311¹

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 60645

List of positive integer factors of 60645 that divides 60625 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 311, 933, 1555, 4043, 4665, 12129, 20215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60625 and 60645. The biggest common factor number is the GCF number.
So the greatest common factor 60625 and 60645 is 5.

Also check out the Least Common Multiple of 60625 and 60645