What is the Greatest Common Factor of 60156 and 60168?

Greatest common factor (GCF) of 60156 and 60168 is 12.

GCF(60156,60168) = 12

We will now calculate the prime factors of 60156 and 60168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60156 and 60168.

How to find the GCF of 60156 and 60168?

We will first find the prime factorization of 60156 and 60168. After we will calculate the factors of 60156 and 60168 and find the biggest common factor number .

Step-1: Prime Factorization of 60156

Prime factors of 60156 are 2, 3, 557. Prime factorization of 60156 in exponential form is:

60156 = 2² × 3³ × 557¹

Step-2: Prime Factorization of 60168

Prime factors of 60168 are 2, 3, 23, 109. Prime factorization of 60168 in exponential form is:

60168 = 2³ × 3¹ × 23¹ × 109¹

Step-3: Factors of 60156

List of positive integer factors of 60156 that divides 60156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 557, 1114, 1671, 2228, 3342, 5013, 6684, 10026, 15039, 20052, 30078

Step-4: Factors of 60168

List of positive integer factors of 60168 that divides 60156 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 109, 138, 184, 218, 276, 327, 436, 552, 654, 872, 1308, 2507, 2616, 5014, 7521, 10028, 15042, 20056, 30084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60156 and 60168. The biggest common factor number is the GCF number.
So the greatest common factor 60156 and 60168 is 12.

Also check out the Least Common Multiple of 60156 and 60168