What is the Greatest Common Factor of 6204 and 6210?

Greatest common factor (GCF) of 6204 and 6210 is 6.

GCF(6204,6210) = 6

We will now calculate the prime factors of 6204 and 6210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6204 and 6210.

How to find the GCF of 6204 and 6210?

We will first find the prime factorization of 6204 and 6210. After we will calculate the factors of 6204 and 6210 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 6204

List of positive integer factors of 6204 that divides 6204 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

Step-4: Factors of 6210

List of positive integer factors of 6210 that divides 6204 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6204 and 6210. The biggest common factor number is the GCF number.
So the greatest common factor 6204 and 6210 is 6.

Also check out the Least Common Multiple of 6204 and 6210