What is the Greatest Common Factor of 6354 and 6369?

Greatest common factor (GCF) of 6354 and 6369 is 3.

GCF(6354,6369) = 3

We will now calculate the prime factors of 6354 and 6369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6354 and 6369.

How to find the GCF of 6354 and 6369?

We will first find the prime factorization of 6354 and 6369. After we will calculate the factors of 6354 and 6369 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 6369

Prime factors of 6369 are 3, 11, 193. Prime factorization of 6369 in exponential form is:

6369 = 3¹ × 11¹ × 193¹

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 6369

List of positive integer factors of 6369 that divides 6354 without a remainder.

1, 3, 11, 33, 193, 579, 2123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6354 and 6369. The biggest common factor number is the GCF number.
So the greatest common factor 6354 and 6369 is 3.

Also check out the Least Common Multiple of 6354 and 6369