What is the Greatest Common Factor of 6189 and 6204?

Greatest common factor (GCF) of 6189 and 6204 is 3.

GCF(6189,6204) = 3

We will now calculate the prime factors of 6189 and 6204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6189 and 6204.

How to find the GCF of 6189 and 6204?

We will first find the prime factorization of 6189 and 6204. After we will calculate the factors of 6189 and 6204 and find the biggest common factor number .

Step-1: Prime Factorization of 6189

Prime factors of 6189 are 3, 2063. Prime factorization of 6189 in exponential form is:

6189 = 3¹ × 2063¹

Step-2: Prime Factorization of 6204

Prime factors of 6204 are 2, 3, 11, 47. Prime factorization of 6204 in exponential form is:

6204 = 2² × 3¹ × 11¹ × 47¹

Step-3: Factors of 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1, 3, 2063

Step-4: Factors of 6204

List of positive integer factors of 6204 that divides 6189 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6189 and 6204. The biggest common factor number is the GCF number.
So the greatest common factor 6189 and 6204 is 3.

Also check out the Least Common Multiple of 6189 and 6204