What is the Greatest Common Factor of 6258 and 6273?

Greatest common factor (GCF) of 6258 and 6273 is 3.

GCF(6258,6273) = 3

We will now calculate the prime factors of 6258 and 6273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6258 and 6273.

How to find the GCF of 6258 and 6273?

We will first find the prime factorization of 6258 and 6273. After we will calculate the factors of 6258 and 6273 and find the biggest common factor number .

Step-1: Prime Factorization of 6258

Prime factors of 6258 are 2, 3, 7, 149. Prime factorization of 6258 in exponential form is:

6258 = 2¹ × 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 6273

Prime factors of 6273 are 3, 17, 41. Prime factorization of 6273 in exponential form is:

6273 = 3² × 17¹ × 41¹

Step-3: Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129

Step-4: Factors of 6273

List of positive integer factors of 6273 that divides 6258 without a remainder.

1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6258 and 6273. The biggest common factor number is the GCF number.
So the greatest common factor 6258 and 6273 is 3.

Also check out the Least Common Multiple of 6258 and 6273