What is the Greatest Common Factor of 60120 and 60138?

Greatest common factor (GCF) of 60120 and 60138 is 18.

GCF(60120,60138) = 18

We will now calculate the prime factors of 60120 and 60138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60120 and 60138.

How to find the GCF of 60120 and 60138?

We will first find the prime factorization of 60120 and 60138. After we will calculate the factors of 60120 and 60138 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 60138

Prime factors of 60138 are 2, 3, 13, 257. Prime factorization of 60138 in exponential form is:

60138 = 2¹ × 3² × 13¹ × 257¹

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 60138

List of positive integer factors of 60138 that divides 60120 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 257, 514, 771, 1542, 2313, 3341, 4626, 6682, 10023, 20046, 30069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60120 and 60138. The biggest common factor number is the GCF number.
So the greatest common factor 60120 and 60138 is 18.

Also check out the Least Common Multiple of 60120 and 60138