What is the Greatest Common Factor of 36132 and 36147?

Greatest common factor (GCF) of 36132 and 36147 is 3.

GCF(36132,36147) = 3

We will now calculate the prime factors of 36132 and 36147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36132 and 36147.

How to find the GCF of 36132 and 36147?

We will first find the prime factorization of 36132 and 36147. After we will calculate the factors of 36132 and 36147 and find the biggest common factor number .

Step-1: Prime Factorization of 36132

Prime factors of 36132 are 2, 3, 3011. Prime factorization of 36132 in exponential form is:

36132 = 2² × 3¹ × 3011¹

Step-2: Prime Factorization of 36147

Prime factors of 36147 are 3, 12049. Prime factorization of 36147 in exponential form is:

36147 = 3¹ × 12049¹

Step-3: Factors of 36132

List of positive integer factors of 36132 that divides 36132 without a remainder.

1, 2, 3, 4, 6, 12, 3011, 6022, 9033, 12044, 18066

Step-4: Factors of 36147

List of positive integer factors of 36147 that divides 36132 without a remainder.

1, 3, 12049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36132 and 36147. The biggest common factor number is the GCF number.
So the greatest common factor 36132 and 36147 is 3.

Also check out the Least Common Multiple of 36132 and 36147