What is the Greatest Common Factor of 60111 and 60120?

Greatest common factor (GCF) of 60111 and 60120 is 9.

GCF(60111,60120) = 9

We will now calculate the prime factors of 60111 and 60120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60111 and 60120.

How to find the GCF of 60111 and 60120?

We will first find the prime factorization of 60111 and 60120. After we will calculate the factors of 60111 and 60120 and find the biggest common factor number .

Step-1: Prime Factorization of 60111

Prime factors of 60111 are 3, 6679. Prime factorization of 60111 in exponential form is:

60111 = 3² × 6679¹

Step-2: 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-3: Factors of 60111

List of positive integer factors of 60111 that divides 60111 without a remainder.

1, 3, 9, 6679, 20037

Step-4: Factors of 60120

List of positive integer factors of 60120 that divides 60111 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60111 and 60120. The biggest common factor number is the GCF number.
So the greatest common factor 60111 and 60120 is 9.

Also check out the Least Common Multiple of 60111 and 60120