What is the Greatest Common Factor of 60120 and 60135?

Greatest common factor (GCF) of 60120 and 60135 is 15.

GCF(60120,60135) = 15

We will now calculate the prime factors of 60120 and 60135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60120 and 60135.

How to find the GCF of 60120 and 60135?

We will first find the prime factorization of 60120 and 60135. After we will calculate the factors of 60120 and 60135 and find the biggest common factor number .

Step-1: Prime Factorization of 60120

Prime factors of 60120 are 2, 3, 5, 167. Prime factorization of 60120 in exponential form is:

60120 = 2³ × 3² × 5¹ × 167¹

Step-2: Prime Factorization of 60135

Prime factors of 60135 are 3, 5, 19, 211. Prime factorization of 60135 in exponential form is:

60135 = 3¹ × 5¹ × 19¹ × 211¹

Step-3: Factors of 60120

List of positive integer factors of 60120 that divides 60120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 167, 180, 334, 360, 501, 668, 835, 1002, 1336, 1503, 1670, 2004, 2505, 3006, 3340, 4008, 5010, 6012, 6680, 7515, 10020, 12024, 15030, 20040, 30060

Step-4: Factors of 60135

List of positive integer factors of 60135 that divides 60120 without a remainder.

1, 3, 5, 15, 19, 57, 95, 211, 285, 633, 1055, 3165, 4009, 12027, 20045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60120 and 60135. The biggest common factor number is the GCF number.
So the greatest common factor 60120 and 60135 is 15.

Also check out the Least Common Multiple of 60120 and 60135