What is the Greatest Common Factor of 63384 and 63396?

Greatest common factor (GCF) of 63384 and 63396 is 12.

GCF(63384,63396) = 12

We will now calculate the prime factors of 63384 and 63396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63384 and 63396.

How to find the GCF of 63384 and 63396?

We will first find the prime factorization of 63384 and 63396. After we will calculate the factors of 63384 and 63396 and find the biggest common factor number .

Step-1: Prime Factorization of 63384

Prime factors of 63384 are 2, 3, 19, 139. Prime factorization of 63384 in exponential form is:

63384 = 2³ × 3¹ × 19¹ × 139¹

Step-2: 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-3: Factors of 63384

List of positive integer factors of 63384 that divides 63384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 139, 152, 228, 278, 417, 456, 556, 834, 1112, 1668, 2641, 3336, 5282, 7923, 10564, 15846, 21128, 31692

Step-4: Factors of 63396

List of positive integer factors of 63396 that divides 63384 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63384 and 63396. The biggest common factor number is the GCF number.
So the greatest common factor 63384 and 63396 is 12.

Also check out the Least Common Multiple of 63384 and 63396