What is the Greatest Common Factor of 6341 and 6358?

Greatest common factor (GCF) of 6341 and 6358 is 17.

GCF(6341,6358) = 17

We will now calculate the prime factors of 6341 and 6358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6341 and 6358.

How to find the GCF of 6341 and 6358?

We will first find the prime factorization of 6341 and 6358. After we will calculate the factors of 6341 and 6358 and find the biggest common factor number .

Step-1: Prime Factorization of 6341

Prime factors of 6341 are 17, 373. Prime factorization of 6341 in exponential form is:

6341 = 17¹ × 373¹

Step-2: Prime Factorization of 6358

Prime factors of 6358 are 2, 11, 17. Prime factorization of 6358 in exponential form is:

6358 = 2¹ × 11¹ × 17²

Step-3: Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1, 17, 373

Step-4: Factors of 6358

List of positive integer factors of 6358 that divides 6341 without a remainder.

1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6341 and 6358. The biggest common factor number is the GCF number.
So the greatest common factor 6341 and 6358 is 17.

Also check out the Least Common Multiple of 6341 and 6358