What is the Greatest Common Factor of 72159 and 72177?

Greatest common factor (GCF) of 72159 and 72177 is 3.

GCF(72159,72177) = 3

We will now calculate the prime factors of 72159 and 72177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72159 and 72177.

How to find the GCF of 72159 and 72177?

We will first find the prime factorization of 72159 and 72177. After we will calculate the factors of 72159 and 72177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72177

Prime factors of 72177 are 3, 7, 491. Prime factorization of 72177 in exponential form is:

72177 = 3¹ × 7² × 491¹

Step-3: Factors of 72159

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

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

Step-4: Factors of 72177

List of positive integer factors of 72177 that divides 72159 without a remainder.

1, 3, 7, 21, 49, 147, 491, 1473, 3437, 10311, 24059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72159 and 72177. The biggest common factor number is the GCF number.
So the greatest common factor 72159 and 72177 is 3.

Also check out the Least Common Multiple of 72159 and 72177