What is the Greatest Common Factor of 72144 and 72156?

Greatest common factor (GCF) of 72144 and 72156 is 12.

GCF(72144,72156) = 12

We will now calculate the prime factors of 72144 and 72156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72144 and 72156.

How to find the GCF of 72144 and 72156?

We will first find the prime factorization of 72144 and 72156. After we will calculate the factors of 72144 and 72156 and find the biggest common factor number .

Step-1: Prime Factorization of 72144

Prime factors of 72144 are 2, 3, 167. Prime factorization of 72144 in exponential form is:

72144 = 2⁴ × 3³ × 167¹

Step-2: Prime Factorization of 72156

Prime factors of 72156 are 2, 3, 7, 859. Prime factorization of 72156 in exponential form is:

72156 = 2² × 3¹ × 7¹ × 859¹

Step-3: Factors of 72144

List of positive integer factors of 72144 that divides 72144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 167, 216, 334, 432, 501, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 4509, 6012, 8016, 9018, 12024, 18036, 24048, 36072

Step-4: Factors of 72156

List of positive integer factors of 72156 that divides 72144 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 859, 1718, 2577, 3436, 5154, 6013, 10308, 12026, 18039, 24052, 36078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72144 and 72156. The biggest common factor number is the GCF number.
So the greatest common factor 72144 and 72156 is 12.

Also check out the Least Common Multiple of 72144 and 72156