What is the Greatest Common Factor of 6268 and 6286?

Greatest common factor (GCF) of 6268 and 6286 is 2.

GCF(6268,6286) = 2

We will now calculate the prime factors of 6268 and 6286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6268 and 6286.

How to find the GCF of 6268 and 6286?

We will first find the prime factorization of 6268 and 6286. After we will calculate the factors of 6268 and 6286 and find the biggest common factor number .

Step-1: Prime Factorization of 6268

Prime factors of 6268 are 2, 1567. Prime factorization of 6268 in exponential form is:

6268 = 2² × 1567¹

Step-2: Prime Factorization of 6286

Prime factors of 6286 are 2, 7, 449. Prime factorization of 6286 in exponential form is:

6286 = 2¹ × 7¹ × 449¹

Step-3: Factors of 6268

List of positive integer factors of 6268 that divides 6268 without a remainder.

1, 2, 4, 1567, 3134

Step-4: Factors of 6286

List of positive integer factors of 6286 that divides 6268 without a remainder.

1, 2, 7, 14, 449, 898, 3143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6268 and 6286. The biggest common factor number is the GCF number.
So the greatest common factor 6268 and 6286 is 2.

Also check out the Least Common Multiple of 6268 and 6286