What is the Greatest Common Factor of 6349 and 6363?

Greatest common factor (GCF) of 6349 and 6363 is 7.

GCF(6349,6363) = 7

We will now calculate the prime factors of 6349 and 6363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6349 and 6363.

How to find the GCF of 6349 and 6363?

We will first find the prime factorization of 6349 and 6363. After we will calculate the factors of 6349 and 6363 and find the biggest common factor number .

Step-1: Prime Factorization of 6349

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

6349 = 7¹ × 907¹

Step-2: Prime Factorization of 6363

Prime factors of 6363 are 3, 7, 101. Prime factorization of 6363 in exponential form is:

6363 = 3² × 7¹ × 101¹

Step-3: Factors of 6349

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

1, 7, 907

Step-4: Factors of 6363

List of positive integer factors of 6363 that divides 6349 without a remainder.

1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6349 and 6363. The biggest common factor number is the GCF number.
So the greatest common factor 6349 and 6363 is 7.

Also check out the Least Common Multiple of 6349 and 6363