What is the Greatest Common Factor of 6189 and 6198?

Greatest common factor (GCF) of 6189 and 6198 is 3.

GCF(6189,6198) = 3

We will now calculate the prime factors of 6189 and 6198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6189 and 6198.

How to find the GCF of 6189 and 6198?

We will first find the prime factorization of 6189 and 6198. After we will calculate the factors of 6189 and 6198 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 6198

Prime factors of 6198 are 2, 3, 1033. Prime factorization of 6198 in exponential form is:

6198 = 2¹ × 3¹ × 1033¹

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 6198

List of positive integer factors of 6198 that divides 6189 without a remainder.

1, 2, 3, 6, 1033, 2066, 3099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6189 and 6198. The biggest common factor number is the GCF number.
So the greatest common factor 6189 and 6198 is 3.

Also check out the Least Common Multiple of 6189 and 6198