What is the Greatest Common Factor of 72156 and 72171?

Greatest common factor (GCF) of 72156 and 72171 is 3.

GCF(72156,72171) = 3

We will now calculate the prime factors of 72156 and 72171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72156 and 72171.

How to find the GCF of 72156 and 72171?

We will first find the prime factorization of 72156 and 72171. After we will calculate the factors of 72156 and 72171 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72171

Prime factors of 72171 are 3, 11. Prime factorization of 72171 in exponential form is:

72171 = 3⁸ × 11¹

Step-3: Factors of 72156

List of positive integer factors of 72156 that divides 72156 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

Step-4: Factors of 72171

List of positive integer factors of 72171 that divides 72156 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2187, 2673, 6561, 8019, 24057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72156 and 72171. The biggest common factor number is the GCF number.
So the greatest common factor 72156 and 72171 is 3.

Also check out the Least Common Multiple of 72156 and 72171