What is the Greatest Common Factor of 6210 and 6228?

Greatest common factor (GCF) of 6210 and 6228 is 18.

GCF(6210,6228) = 18

We will now calculate the prime factors of 6210 and 6228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6210 and 6228.

How to find the GCF of 6210 and 6228?

We will first find the prime factorization of 6210 and 6228. After we will calculate the factors of 6210 and 6228 and find the biggest common factor number .

Step-1: Prime Factorization of 6210

Prime factors of 6210 are 2, 3, 5, 23. Prime factorization of 6210 in exponential form is:

6210 = 2¹ × 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 6228

Prime factors of 6228 are 2, 3, 173. Prime factorization of 6228 in exponential form is:

6228 = 2² × 3² × 173¹

Step-3: Factors of 6210

List of positive integer factors of 6210 that divides 6210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105

Step-4: Factors of 6228

List of positive integer factors of 6228 that divides 6210 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6210 and 6228. The biggest common factor number is the GCF number.
So the greatest common factor 6210 and 6228 is 18.

Also check out the Least Common Multiple of 6210 and 6228