What is the Greatest Common Factor of 60120 and 60126?

Greatest common factor (GCF) of 60120 and 60126 is 6.

GCF(60120,60126) = 6

We will now calculate the prime factors of 60120 and 60126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60120 and 60126.

How to find the GCF of 60120 and 60126?

We will first find the prime factorization of 60120 and 60126. After we will calculate the factors of 60120 and 60126 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 60126

Prime factors of 60126 are 2, 3, 11, 911. Prime factorization of 60126 in exponential form is:

60126 = 2¹ × 3¹ × 11¹ × 911¹

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 60126

List of positive integer factors of 60126 that divides 60120 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 911, 1822, 2733, 5466, 10021, 20042, 30063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60120 and 60126. The biggest common factor number is the GCF number.
So the greatest common factor 60120 and 60126 is 6.

Also check out the Least Common Multiple of 60120 and 60126