What is the Greatest Common Factor of 72144 and 72159?

Greatest common factor (GCF) of 72144 and 72159 is 3.

GCF(72144,72159) = 3

We will now calculate the prime factors of 72144 and 72159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72144 and 72159.

How to find the GCF of 72144 and 72159?

We will first find the prime factorization of 72144 and 72159. After we will calculate the factors of 72144 and 72159 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 72159

Prime factors of 72159 are 3, 67, 359. Prime factorization of 72159 in exponential form is:

72159 = 3¹ × 67¹ × 359¹

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 72159

List of positive integer factors of 72159 that divides 72144 without a remainder.

1, 3, 67, 201, 359, 1077, 24053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72144 and 72159. The biggest common factor number is the GCF number.
So the greatest common factor 72144 and 72159 is 3.

Also check out the Least Common Multiple of 72144 and 72159