What is the Greatest Common Factor of 6335 and 6349?

Greatest common factor (GCF) of 6335 and 6349 is 7.

GCF(6335,6349) = 7

We will now calculate the prime factors of 6335 and 6349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6335 and 6349.

How to find the GCF of 6335 and 6349?

We will first find the prime factorization of 6335 and 6349. After we will calculate the factors of 6335 and 6349 and find the biggest common factor number .

Step-1: Prime Factorization of 6335

Prime factors of 6335 are 5, 7, 181. Prime factorization of 6335 in exponential form is:

6335 = 5¹ × 7¹ × 181¹

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 6335

List of positive integer factors of 6335 that divides 6335 without a remainder.

1, 5, 7, 35, 181, 905, 1267

Step-4: Factors of 6349

List of positive integer factors of 6349 that divides 6335 without a remainder.

1, 7, 907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6335 and 6349. The biggest common factor number is the GCF number.
So the greatest common factor 6335 and 6349 is 7.

Also check out the Least Common Multiple of 6335 and 6349