What is the Greatest Common Factor of 72144 and 72151?

Greatest common factor (GCF) of 72144 and 72151 is 1.

GCF(72144,72151) = 1

We will now calculate the prime factors of 72144 and 72151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72144 and 72151.

How to find the GCF of 72144 and 72151?

We will first find the prime factorization of 72144 and 72151. After we will calculate the factors of 72144 and 72151 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 72151

Prime factors of 72151 are 23, 3137. Prime factorization of 72151 in exponential form is:

72151 = 23¹ × 3137¹

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 72151

List of positive integer factors of 72151 that divides 72144 without a remainder.

1, 23, 3137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72144 and 72151. The biggest common factor number is the GCF number.
So the greatest common factor 72144 and 72151 is 1.

Also check out the Least Common Multiple of 72144 and 72151