What is the Greatest Common Factor of 72132 and 72146?

Greatest common factor (GCF) of 72132 and 72146 is 2.

GCF(72132,72146) = 2

We will now calculate the prime factors of 72132 and 72146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72132 and 72146.

How to find the GCF of 72132 and 72146?

We will first find the prime factorization of 72132 and 72146. After we will calculate the factors of 72132 and 72146 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 72146

Prime factors of 72146 are 2, 36073. Prime factorization of 72146 in exponential form is:

72146 = 2¹ × 36073¹

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 72146

List of positive integer factors of 72146 that divides 72132 without a remainder.

1, 2, 36073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72132 and 72146. The biggest common factor number is the GCF number.
So the greatest common factor 72132 and 72146 is 2.

Also check out the Least Common Multiple of 72132 and 72146