What is the Greatest Common Factor of 60120 and 60125?

Greatest common factor (GCF) of 60120 and 60125 is 5.

GCF(60120,60125) = 5

We will now calculate the prime factors of 60120 and 60125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60120 and 60125.

How to find the GCF of 60120 and 60125?

We will first find the prime factorization of 60120 and 60125. After we will calculate the factors of 60120 and 60125 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 60125

Prime factors of 60125 are 5, 13, 37. Prime factorization of 60125 in exponential form is:

60125 = 5³ × 13¹ × 37¹

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 60125

List of positive integer factors of 60125 that divides 60120 without a remainder.

1, 5, 13, 25, 37, 65, 125, 185, 325, 481, 925, 1625, 2405, 4625, 12025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60120 and 60125. The biggest common factor number is the GCF number.
So the greatest common factor 60120 and 60125 is 5.

Also check out the Least Common Multiple of 60120 and 60125