What is the Greatest Common Factor of 6338 and 6354?

Greatest common factor (GCF) of 6338 and 6354 is 2.

GCF(6338,6354) = 2

We will now calculate the prime factors of 6338 and 6354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6338 and 6354.

How to find the GCF of 6338 and 6354?

We will first find the prime factorization of 6338 and 6354. After we will calculate the factors of 6338 and 6354 and find the biggest common factor number .

Step-1: Prime Factorization of 6338

Prime factors of 6338 are 2, 3169. Prime factorization of 6338 in exponential form is:

6338 = 2¹ × 3169¹

Step-2: Prime Factorization of 6354

Prime factors of 6354 are 2, 3, 353. Prime factorization of 6354 in exponential form is:

6354 = 2¹ × 3² × 353¹

Step-3: Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1, 2, 3169

Step-4: Factors of 6354

List of positive integer factors of 6354 that divides 6338 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6338 and 6354. The biggest common factor number is the GCF number.
So the greatest common factor 6338 and 6354 is 2.

Also check out the Least Common Multiple of 6338 and 6354