What is the Greatest Common Factor of 6336 and 6349?

Greatest common factor (GCF) of 6336 and 6349 is 1.

GCF(6336,6349) = 1

We will now calculate the prime factors of 6336 and 6349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6336 and 6349.

How to find the GCF of 6336 and 6349?

We will first find the prime factorization of 6336 and 6349. After we will calculate the factors of 6336 and 6349 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 6349

Prime factors of 6349 are 7, 907. Prime factorization of 6349 in exponential form is:

6349 = 7¹ × 907¹

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 6349

List of positive integer factors of 6349 that divides 6336 without a remainder.

1, 7, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6336 and 6349. The biggest common factor number is the GCF number.
So the greatest common factor 6336 and 6349 is 1.

Also check out the Least Common Multiple of 6336 and 6349