What is the Greatest Common Factor of 6204 and 6224?

Greatest common factor (GCF) of 6204 and 6224 is 4.

GCF(6204,6224) = 4

We will now calculate the prime factors of 6204 and 6224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6204 and 6224.

How to find the GCF of 6204 and 6224?

We will first find the prime factorization of 6204 and 6224. After we will calculate the factors of 6204 and 6224 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 6224

Prime factors of 6224 are 2, 389. Prime factorization of 6224 in exponential form is:

6224 = 2⁴ × 389¹

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 6224

List of positive integer factors of 6224 that divides 6204 without a remainder.

1, 2, 4, 8, 16, 389, 778, 1556, 3112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6204 and 6224. The biggest common factor number is the GCF number.
So the greatest common factor 6204 and 6224 is 4.

Also check out the Least Common Multiple of 6204 and 6224