What is the Greatest Common Factor of 58620 and 58635?

Greatest common factor (GCF) of 58620 and 58635 is 15.

GCF(58620,58635) = 15

We will now calculate the prime factors of 58620 and 58635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58620 and 58635.

How to find the GCF of 58620 and 58635?

We will first find the prime factorization of 58620 and 58635. After we will calculate the factors of 58620 and 58635 and find the biggest common factor number .

Step-1: Prime Factorization of 58620

Prime factors of 58620 are 2, 3, 5, 977. Prime factorization of 58620 in exponential form is:

58620 = 2² × 3¹ × 5¹ × 977¹

Step-2: Prime Factorization of 58635

Prime factors of 58635 are 3, 5, 1303. Prime factorization of 58635 in exponential form is:

58635 = 3² × 5¹ × 1303¹

Step-3: Factors of 58620

List of positive integer factors of 58620 that divides 58620 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 977, 1954, 2931, 3908, 4885, 5862, 9770, 11724, 14655, 19540, 29310

Step-4: Factors of 58635

List of positive integer factors of 58635 that divides 58620 without a remainder.

1, 3, 5, 9, 15, 45, 1303, 3909, 6515, 11727, 19545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58620 and 58635. The biggest common factor number is the GCF number.
So the greatest common factor 58620 and 58635 is 15.

Also check out the Least Common Multiple of 58620 and 58635