What is the Greatest Common Factor of 60110 and 60120?

Greatest common factor (GCF) of 60110 and 60120 is 10.

GCF(60110,60120) = 10

We will now calculate the prime factors of 60110 and 60120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60110 and 60120.

How to find the GCF of 60110 and 60120?

We will first find the prime factorization of 60110 and 60120. After we will calculate the factors of 60110 and 60120 and find the biggest common factor number .

Step-1: Prime Factorization of 60110

Prime factors of 60110 are 2, 5, 6011. Prime factorization of 60110 in exponential form is:

60110 = 2¹ × 5¹ × 6011¹

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 60110

List of positive integer factors of 60110 that divides 60110 without a remainder.

1, 2, 5, 10, 6011, 12022, 30055

Step-4: Factors of 60120

List of positive integer factors of 60120 that divides 60110 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 60110 and 60120. The biggest common factor number is the GCF number.
So the greatest common factor 60110 and 60120 is 10.

Also check out the Least Common Multiple of 60110 and 60120