What is the Greatest Common Factor of 63396 and 63400?

Greatest common factor (GCF) of 63396 and 63400 is 4.

GCF(63396,63400) = 4

We will now calculate the prime factors of 63396 and 63400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63396 and 63400.

How to find the GCF of 63396 and 63400?

We will first find the prime factorization of 63396 and 63400. After we will calculate the factors of 63396 and 63400 and find the biggest common factor number .

Step-1: Prime Factorization of 63396

Prime factors of 63396 are 2, 3, 587. Prime factorization of 63396 in exponential form is:

63396 = 2² × 3³ × 587¹

Step-2: Prime Factorization of 63400

Prime factors of 63400 are 2, 5, 317. Prime factorization of 63400 in exponential form is:

63400 = 2³ × 5² × 317¹

Step-3: Factors of 63396

List of positive integer factors of 63396 that divides 63396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 587, 1174, 1761, 2348, 3522, 5283, 7044, 10566, 15849, 21132, 31698

Step-4: Factors of 63400

List of positive integer factors of 63400 that divides 63396 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 317, 634, 1268, 1585, 2536, 3170, 6340, 7925, 12680, 15850, 31700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63396 and 63400. The biggest common factor number is the GCF number.
So the greatest common factor 63396 and 63400 is 4.

Also check out the Least Common Multiple of 63396 and 63400