What is the Greatest Common Factor of 72132 and 72147?

Greatest common factor (GCF) of 72132 and 72147 is 3.

GCF(72132,72147) = 3

We will now calculate the prime factors of 72132 and 72147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72132 and 72147.

How to find the GCF of 72132 and 72147?

We will first find the prime factorization of 72132 and 72147. After we will calculate the factors of 72132 and 72147 and find the biggest common factor number .

Step-1: Prime Factorization of 72132

Prime factors of 72132 are 2, 3, 6011. Prime factorization of 72132 in exponential form is:

72132 = 2² × 3¹ × 6011¹

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 72132

List of positive integer factors of 72132 that divides 72132 without a remainder.

1, 2, 3, 4, 6, 12, 6011, 12022, 18033, 24044, 36066

Step-4: Factors of 72147

List of positive integer factors of 72147 that divides 72132 without a remainder.

1, 3, 24049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72132 and 72147. The biggest common factor number is the GCF number.
So the greatest common factor 72132 and 72147 is 3.

Also check out the Least Common Multiple of 72132 and 72147