What is the Greatest Common Factor of 63401 and 63414?

Greatest common factor (GCF) of 63401 and 63414 is 13.

GCF(63401,63414) = 13

We will now calculate the prime factors of 63401 and 63414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63401 and 63414.

How to find the GCF of 63401 and 63414?

We will first find the prime factorization of 63401 and 63414. After we will calculate the factors of 63401 and 63414 and find the biggest common factor number .

Step-1: Prime Factorization of 63401

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

63401 = 13¹ × 4877¹

Step-2: Prime Factorization of 63414

Prime factors of 63414 are 2, 3, 13, 271. Prime factorization of 63414 in exponential form is:

63414 = 2¹ × 3² × 13¹ × 271¹

Step-3: Factors of 63401

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

1, 13, 4877

Step-4: Factors of 63414

List of positive integer factors of 63414 that divides 63401 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 271, 542, 813, 1626, 2439, 3523, 4878, 7046, 10569, 21138, 31707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63401 and 63414. The biggest common factor number is the GCF number.
So the greatest common factor 63401 and 63414 is 13.

Also check out the Least Common Multiple of 63401 and 63414