What is the Greatest Common Factor of 63388 and 63401?

Greatest common factor (GCF) of 63388 and 63401 is 13.

GCF(63388,63401) = 13

We will now calculate the prime factors of 63388 and 63401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63388 and 63401.

How to find the GCF of 63388 and 63401?

We will first find the prime factorization of 63388 and 63401. After we will calculate the factors of 63388 and 63401 and find the biggest common factor number .

Step-1: Prime Factorization of 63388

Prime factors of 63388 are 2, 13, 23, 53. Prime factorization of 63388 in exponential form is:

63388 = 2² × 13¹ × 23¹ × 53¹

Step-2: Prime Factorization of 63401

Prime factors of 63401 are 13, 4877. Prime factorization of 63401 in exponential form is:

63401 = 13¹ × 4877¹

Step-3: Factors of 63388

List of positive integer factors of 63388 that divides 63388 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 53, 92, 106, 212, 299, 598, 689, 1196, 1219, 1378, 2438, 2756, 4876, 15847, 31694

Step-4: Factors of 63401

List of positive integer factors of 63401 that divides 63388 without a remainder.

1, 13, 4877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63388 and 63401. The biggest common factor number is the GCF number.
So the greatest common factor 63388 and 63401 is 13.

Also check out the Least Common Multiple of 63388 and 63401