What is the Greatest Common Factor of 60144 and 60156?

Greatest common factor (GCF) of 60144 and 60156 is 12.

GCF(60144,60156) = 12

We will now calculate the prime factors of 60144 and 60156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60144 and 60156.

How to find the GCF of 60144 and 60156?

We will first find the prime factorization of 60144 and 60156. After we will calculate the factors of 60144 and 60156 and find the biggest common factor number .

Step-1: Prime Factorization of 60144

Prime factors of 60144 are 2, 3, 7, 179. Prime factorization of 60144 in exponential form is:

60144 = 2⁴ × 3¹ × 7¹ × 179¹

Step-2: 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-3: Factors of 60144

List of positive integer factors of 60144 that divides 60144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 179, 336, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 2864, 3759, 4296, 5012, 7518, 8592, 10024, 15036, 20048, 30072

Step-4: Factors of 60156

List of positive integer factors of 60156 that divides 60144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60144 and 60156. The biggest common factor number is the GCF number.
So the greatest common factor 60144 and 60156 is 12.

Also check out the Least Common Multiple of 60144 and 60156