What is the Greatest Common Factor of 6268 and 6287?

Greatest common factor (GCF) of 6268 and 6287 is 1.

GCF(6268,6287) = 1

We will now calculate the prime factors of 6268 and 6287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6268 and 6287.

How to find the GCF of 6268 and 6287?

We will first find the prime factorization of 6268 and 6287. After we will calculate the factors of 6268 and 6287 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 6287

Prime factors of 6287 are 6287. Prime factorization of 6287 in exponential form is:

6287 = 6287¹

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 6287

List of positive integer factors of 6287 that divides 6268 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6268 and 6287. The biggest common factor number is the GCF number.
So the greatest common factor 6268 and 6287 is 1.

Also check out the Least Common Multiple of 6268 and 6287