What is the Greatest Common Factor of 6298 and 6316?

Greatest common factor (GCF) of 6298 and 6316 is 2.

GCF(6298,6316) = 2

We will now calculate the prime factors of 6298 and 6316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6298 and 6316.

How to find the GCF of 6298 and 6316?

We will first find the prime factorization of 6298 and 6316. After we will calculate the factors of 6298 and 6316 and find the biggest common factor number .

Step-1: Prime Factorization of 6298

Prime factors of 6298 are 2, 47, 67. Prime factorization of 6298 in exponential form is:

6298 = 2¹ × 47¹ × 67¹

Step-2: Prime Factorization of 6316

Prime factors of 6316 are 2, 1579. Prime factorization of 6316 in exponential form is:

6316 = 2² × 1579¹

Step-3: Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1, 2, 47, 67, 94, 134, 3149

Step-4: Factors of 6316

List of positive integer factors of 6316 that divides 6298 without a remainder.

1, 2, 4, 1579, 3158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6298 and 6316. The biggest common factor number is the GCF number.
So the greatest common factor 6298 and 6316 is 2.

Also check out the Least Common Multiple of 6298 and 6316