What is the Greatest Common Factor of 63414 and 63427?

Greatest common factor (GCF) of 63414 and 63427 is 13.

GCF(63414,63427) = 13

We will now calculate the prime factors of 63414 and 63427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63414 and 63427.

How to find the GCF of 63414 and 63427?

We will first find the prime factorization of 63414 and 63427. After we will calculate the factors of 63414 and 63427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63427

Prime factors of 63427 are 7, 13, 17, 41. Prime factorization of 63427 in exponential form is:

63427 = 7¹ × 13¹ × 17¹ × 41¹

Step-3: Factors of 63414

List of positive integer factors of 63414 that divides 63414 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

Step-4: Factors of 63427

List of positive integer factors of 63427 that divides 63414 without a remainder.

1, 7, 13, 17, 41, 91, 119, 221, 287, 533, 697, 1547, 3731, 4879, 9061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63414 and 63427. The biggest common factor number is the GCF number.
So the greatest common factor 63414 and 63427 is 13.

Also check out the Least Common Multiple of 63414 and 63427