What is the Greatest Common Factor of 63338 and 63349?

Greatest common factor (GCF) of 63338 and 63349 is 11.

GCF(63338,63349) = 11

We will now calculate the prime factors of 63338 and 63349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63338 and 63349.

How to find the GCF of 63338 and 63349?

We will first find the prime factorization of 63338 and 63349. After we will calculate the factors of 63338 and 63349 and find the biggest common factor number .

Step-1: Prime Factorization of 63338

Prime factors of 63338 are 2, 11, 2879. Prime factorization of 63338 in exponential form is:

63338 = 2¹ × 11¹ × 2879¹

Step-2: 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-3: Factors of 63338

List of positive integer factors of 63338 that divides 63338 without a remainder.

1, 2, 11, 22, 2879, 5758, 31669

Step-4: Factors of 63349

List of positive integer factors of 63349 that divides 63338 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63338 and 63349. The biggest common factor number is the GCF number.
So the greatest common factor 63338 and 63349 is 11.

Also check out the Least Common Multiple of 63338 and 63349