What is the Greatest Common Factor of 6228 and 6240?

Greatest common factor (GCF) of 6228 and 6240 is 12.

GCF(6228,6240) = 12

We will now calculate the prime factors of 6228 and 6240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6228 and 6240.

How to find the GCF of 6228 and 6240?

We will first find the prime factorization of 6228 and 6240. After we will calculate the factors of 6228 and 6240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6240

Prime factors of 6240 are 2, 3, 5, 13. Prime factorization of 6240 in exponential form is:

6240 = 2⁵ × 3¹ × 5¹ × 13¹

Step-3: Factors of 6228

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

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

Step-4: Factors of 6240

List of positive integer factors of 6240 that divides 6228 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6228 and 6240. The biggest common factor number is the GCF number.
So the greatest common factor 6228 and 6240 is 12.

Also check out the Least Common Multiple of 6228 and 6240