What is the Greatest Common Factor of 60615 and 60635?

Greatest common factor (GCF) of 60615 and 60635 is 5.

GCF(60615,60635) = 5

We will now calculate the prime factors of 60615 and 60635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60615 and 60635.

How to find the GCF of 60615 and 60635?

We will first find the prime factorization of 60615 and 60635. After we will calculate the factors of 60615 and 60635 and find the biggest common factor number .

Step-1: Prime Factorization of 60615

Prime factors of 60615 are 3, 5, 449. Prime factorization of 60615 in exponential form is:

60615 = 3³ × 5¹ × 449¹

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 60615

List of positive integer factors of 60615 that divides 60615 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 449, 1347, 2245, 4041, 6735, 12123, 20205

Step-4: Factors of 60635

List of positive integer factors of 60635 that divides 60615 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60615 and 60635. The biggest common factor number is the GCF number.
So the greatest common factor 60615 and 60635 is 5.

Also check out the Least Common Multiple of 60615 and 60635