What is the Greatest Common Factor of 60628 and 60635?

Greatest common factor (GCF) of 60628 and 60635 is 1.

GCF(60628,60635) = 1

We will now calculate the prime factors of 60628 and 60635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60628 and 60635.

How to find the GCF of 60628 and 60635?

We will first find the prime factorization of 60628 and 60635. After we will calculate the factors of 60628 and 60635 and find the biggest common factor number .

Step-1: Prime Factorization of 60628

Prime factors of 60628 are 2, 23, 659. Prime factorization of 60628 in exponential form is:

60628 = 2² × 23¹ × 659¹

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 60628

List of positive integer factors of 60628 that divides 60628 without a remainder.

1, 2, 4, 23, 46, 92, 659, 1318, 2636, 15157, 30314

Step-4: Factors of 60635

List of positive integer factors of 60635 that divides 60628 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60628 and 60635. The biggest common factor number is the GCF number.
So the greatest common factor 60628 and 60635 is 1.

Also check out the Least Common Multiple of 60628 and 60635