What is the Greatest Common Factor of 60105 and 60120?

Greatest common factor (GCF) of 60105 and 60120 is 15.

GCF(60105,60120) = 15

We will now calculate the prime factors of 60105 and 60120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60105 and 60120.

How to find the GCF of 60105 and 60120?

We will first find the prime factorization of 60105 and 60120. After we will calculate the factors of 60105 and 60120 and find the biggest common factor number .

Step-1: Prime Factorization of 60105

Prime factors of 60105 are 3, 5, 4007. Prime factorization of 60105 in exponential form is:

60105 = 3¹ × 5¹ × 4007¹

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 60105

List of positive integer factors of 60105 that divides 60105 without a remainder.

1, 3, 5, 15, 4007, 12021, 20035

Step-4: Factors of 60120

List of positive integer factors of 60120 that divides 60105 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 60105 and 60120. The biggest common factor number is the GCF number.
So the greatest common factor 60105 and 60120 is 15.

Also check out the Least Common Multiple of 60105 and 60120