What is the Greatest Common Factor of 63349 and 63362?

Greatest common factor (GCF) of 63349 and 63362 is 13.

GCF(63349,63362) = 13

We will now calculate the prime factors of 63349 and 63362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63349 and 63362.

How to find the GCF of 63349 and 63362?

We will first find the prime factorization of 63349 and 63362. After we will calculate the factors of 63349 and 63362 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 63362

Prime factors of 63362 are 2, 13, 2437. Prime factorization of 63362 in exponential form is:

63362 = 2¹ × 13¹ × 2437¹

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 63362

List of positive integer factors of 63362 that divides 63349 without a remainder.

1, 2, 13, 26, 2437, 4874, 31681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63349 and 63362. The biggest common factor number is the GCF number.
So the greatest common factor 63349 and 63362 is 13.

Also check out the Least Common Multiple of 63349 and 63362