What is the Greatest Common Factor of 6354 and 6366?

Greatest common factor (GCF) of 6354 and 6366 is 6.

GCF(6354,6366) = 6

We will now calculate the prime factors of 6354 and 6366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6354 and 6366.

How to find the GCF of 6354 and 6366?

We will first find the prime factorization of 6354 and 6366. After we will calculate the factors of 6354 and 6366 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6366

Prime factors of 6366 are 2, 3, 1061. Prime factorization of 6366 in exponential form is:

6366 = 2¹ × 3¹ × 1061¹

Step-3: Factors of 6354

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

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

Step-4: Factors of 6366

List of positive integer factors of 6366 that divides 6354 without a remainder.

1, 2, 3, 6, 1061, 2122, 3183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6354 and 6366. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6366 is 6.

Also check out the Least Common Multiple of 6354 and 6366