What is the Greatest Common Factor of 6270 and 6285?

Greatest common factor (GCF) of 6270 and 6285 is 15.

GCF(6270,6285) = 15

We will now calculate the prime factors of 6270 and 6285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6270 and 6285.

How to find the GCF of 6270 and 6285?

We will first find the prime factorization of 6270 and 6285. After we will calculate the factors of 6270 and 6285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6285

Prime factors of 6285 are 3, 5, 419. Prime factorization of 6285 in exponential form is:

6285 = 3¹ × 5¹ × 419¹

Step-3: Factors of 6270

List of positive integer factors of 6270 that divides 6270 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

Step-4: Factors of 6285

List of positive integer factors of 6285 that divides 6270 without a remainder.

1, 3, 5, 15, 419, 1257, 2095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6270 and 6285. The biggest common factor number is the GCF number.
So the greatest common factor 6270 and 6285 is 15.

Also check out the Least Common Multiple of 6270 and 6285