What is the Greatest Common Factor of 6270 and 6289?

Greatest common factor (GCF) of 6270 and 6289 is 19.

GCF(6270,6289) = 19

We will now calculate the prime factors of 6270 and 6289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6270 and 6289.

How to find the GCF of 6270 and 6289?

We will first find the prime factorization of 6270 and 6289. After we will calculate the factors of 6270 and 6289 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 6289

Prime factors of 6289 are 19, 331. Prime factorization of 6289 in exponential form is:

6289 = 19¹ × 331¹

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 6289

List of positive integer factors of 6289 that divides 6270 without a remainder.

1, 19, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6270 and 6289. The biggest common factor number is the GCF number.
So the greatest common factor 6270 and 6289 is 19.

Also check out the Least Common Multiple of 6270 and 6289