What is the Greatest Common Factor of 63349 and 63359?

Greatest common factor (GCF) of 63349 and 63359 is 1.

GCF(63349,63359) = 1

We will now calculate the prime factors of 63349 and 63359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63349 and 63359.

How to find the GCF of 63349 and 63359?

We will first find the prime factorization of 63349 and 63359. After we will calculate the factors of 63349 and 63359 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 63359

Prime factors of 63359 are 17, 3727. Prime factorization of 63359 in exponential form is:

63359 = 17¹ × 3727¹

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 63359

List of positive integer factors of 63359 that divides 63349 without a remainder.

1, 17, 3727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63349 and 63359. The biggest common factor number is the GCF number.
So the greatest common factor 63349 and 63359 is 1.

Also check out the Least Common Multiple of 63349 and 63359