What is the Greatest Common Factor of 63349 and 63363?

Greatest common factor (GCF) of 63349 and 63363 is 1.

GCF(63349,63363) = 1

We will now calculate the prime factors of 63349 and 63363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63349 and 63363.

How to find the GCF of 63349 and 63363?

We will first find the prime factorization of 63349 and 63363. After we will calculate the factors of 63349 and 63363 and find the biggest common factor number .

Step-1: Prime Factorization of 63349

Prime factors of 63349 are 11, 13, 443. Prime factorization of 63349 in exponential form is:

63349 = 11¹ × 13¹ × 443¹

Step-2: Prime Factorization of 63363

Prime factors of 63363 are 3, 21121. Prime factorization of 63363 in exponential form is:

63363 = 3¹ × 21121¹

Step-3: Factors of 63349

List of positive integer factors of 63349 that divides 63349 without a remainder.

1, 11, 13, 143, 443, 4873, 5759

Step-4: Factors of 63363

List of positive integer factors of 63363 that divides 63349 without a remainder.

1, 3, 21121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63349 and 63363. The biggest common factor number is the GCF number.
So the greatest common factor 63349 and 63363 is 1.

Also check out the Least Common Multiple of 63349 and 63363