What is the Greatest Common Factor of 6117 and 6132?

Greatest common factor (GCF) of 6117 and 6132 is 3.

GCF(6117,6132) = 3

We will now calculate the prime factors of 6117 and 6132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6117 and 6132.

How to find the GCF of 6117 and 6132?

We will first find the prime factorization of 6117 and 6132. After we will calculate the factors of 6117 and 6132 and find the biggest common factor number .

Step-1: Prime Factorization of 6117

Prime factors of 6117 are 3, 2039. Prime factorization of 6117 in exponential form is:

6117 = 3¹ × 2039¹

Step-2: Prime Factorization of 6132

Prime factors of 6132 are 2, 3, 7, 73. Prime factorization of 6132 in exponential form is:

6132 = 2² × 3¹ × 7¹ × 73¹

Step-3: Factors of 6117

List of positive integer factors of 6117 that divides 6117 without a remainder.

1, 3, 2039

Step-4: Factors of 6132

List of positive integer factors of 6132 that divides 6117 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6117 and 6132. The biggest common factor number is the GCF number.
So the greatest common factor 6117 and 6132 is 3.

Also check out the Least Common Multiple of 6117 and 6132