What is the Greatest Common Factor of 6264 and 6270?

Greatest common factor (GCF) of 6264 and 6270 is 6.

GCF(6264,6270) = 6

We will now calculate the prime factors of 6264 and 6270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6264 and 6270.

How to find the GCF of 6264 and 6270?

We will first find the prime factorization of 6264 and 6270. After we will calculate the factors of 6264 and 6270 and find the biggest common factor number .

Step-1: Prime Factorization of 6264

Prime factors of 6264 are 2, 3, 29. Prime factorization of 6264 in exponential form is:

6264 = 2³ × 3³ × 29¹

Step-2: Prime Factorization of 6270

Prime factors of 6270 are 2, 3, 5, 11, 19. Prime factorization of 6270 in exponential form is:

6270 = 2¹ × 3¹ × 5¹ × 11¹ × 19¹

Step-3: Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132

Step-4: Factors of 6270

List of positive integer factors of 6270 that divides 6264 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6264 and 6270. The biggest common factor number is the GCF number.
So the greatest common factor 6264 and 6270 is 6.

Also check out the Least Common Multiple of 6264 and 6270