What is the Greatest Common Factor of 60120 and 60129?

Greatest common factor (GCF) of 60120 and 60129 is 9.

GCF(60120,60129) = 9

We will now calculate the prime factors of 60120 and 60129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60120 and 60129.

How to find the GCF of 60120 and 60129?

We will first find the prime factorization of 60120 and 60129. After we will calculate the factors of 60120 and 60129 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 60129

Prime factors of 60129 are 3, 17, 131. Prime factorization of 60129 in exponential form is:

60129 = 3³ × 17¹ × 131¹

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 60129

List of positive integer factors of 60129 that divides 60120 without a remainder.

1, 3, 9, 17, 27, 51, 131, 153, 393, 459, 1179, 2227, 3537, 6681, 20043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60120 and 60129. The biggest common factor number is the GCF number.
So the greatest common factor 60120 and 60129 is 9.

Also check out the Least Common Multiple of 60120 and 60129