What is the Greatest Common Factor of 72138 and 72147?

Greatest common factor (GCF) of 72138 and 72147 is 3.

GCF(72138,72147) = 3

We will now calculate the prime factors of 72138 and 72147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72138 and 72147.

How to find the GCF of 72138 and 72147?

We will first find the prime factorization of 72138 and 72147. After we will calculate the factors of 72138 and 72147 and find the biggest common factor number .

Step-1: Prime Factorization of 72138

Prime factors of 72138 are 2, 3, 11, 1093. Prime factorization of 72138 in exponential form is:

72138 = 2¹ × 3¹ × 11¹ × 1093¹

Step-2: Prime Factorization of 72147

Prime factors of 72147 are 3, 24049. Prime factorization of 72147 in exponential form is:

72147 = 3¹ × 24049¹

Step-3: Factors of 72138

List of positive integer factors of 72138 that divides 72138 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1093, 2186, 3279, 6558, 12023, 24046, 36069

Step-4: Factors of 72147

List of positive integer factors of 72147 that divides 72138 without a remainder.

1, 3, 24049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72138 and 72147. The biggest common factor number is the GCF number.
So the greatest common factor 72138 and 72147 is 3.

Also check out the Least Common Multiple of 72138 and 72147