What is the Greatest Common Factor of 6129 and 6135?

Greatest common factor (GCF) of 6129 and 6135 is 3.

GCF(6129,6135) = 3

We will now calculate the prime factors of 6129 and 6135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6129 and 6135.

How to find the GCF of 6129 and 6135?

We will first find the prime factorization of 6129 and 6135. After we will calculate the factors of 6129 and 6135 and find the biggest common factor number .

Step-1: Prime Factorization of 6129

Prime factors of 6129 are 3, 227. Prime factorization of 6129 in exponential form is:

6129 = 3³ × 227¹

Step-2: Prime Factorization of 6135

Prime factors of 6135 are 3, 5, 409. Prime factorization of 6135 in exponential form is:

6135 = 3¹ × 5¹ × 409¹

Step-3: Factors of 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1, 3, 9, 27, 227, 681, 2043

Step-4: Factors of 6135

List of positive integer factors of 6135 that divides 6129 without a remainder.

1, 3, 5, 15, 409, 1227, 2045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6129 and 6135. The biggest common factor number is the GCF number.
So the greatest common factor 6129 and 6135 is 3.

Also check out the Least Common Multiple of 6129 and 6135