What is the Greatest Common Factor of 6336 and 6354?

Greatest common factor (GCF) of 6336 and 6354 is 18.

GCF(6336,6354) = 18

We will now calculate the prime factors of 6336 and 6354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6336 and 6354.

How to find the GCF of 6336 and 6354?

We will first find the prime factorization of 6336 and 6354. After we will calculate the factors of 6336 and 6354 and find the biggest common factor number .

Step-1: Prime Factorization of 6336

Prime factors of 6336 are 2, 3, 11. Prime factorization of 6336 in exponential form is:

6336 = 2⁶ × 3² × 11¹

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 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168

Step-4: Factors of 6354

List of positive integer factors of 6354 that divides 6336 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 6336 and 6354. The biggest common factor number is the GCF number.
So the greatest common factor 6336 and 6354 is 18.

Also check out the Least Common Multiple of 6336 and 6354