What is the Greatest Common Factor of 63900 and 63912?

Greatest common factor (GCF) of 63900 and 63912 is 12.

GCF(63900,63912) = 12

We will now calculate the prime factors of 63900 and 63912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63900 and 63912.

How to find the GCF of 63900 and 63912?

We will first find the prime factorization of 63900 and 63912. After we will calculate the factors of 63900 and 63912 and find the biggest common factor number .

Step-1: Prime Factorization of 63900

Prime factors of 63900 are 2, 3, 5, 71. Prime factorization of 63900 in exponential form is:

63900 = 2² × 3² × 5² × 71¹

Step-2: Prime Factorization of 63912

Prime factors of 63912 are 2, 3, 2663. Prime factorization of 63912 in exponential form is:

63912 = 2³ × 3¹ × 2663¹

Step-3: Factors of 63900

List of positive integer factors of 63900 that divides 63900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 71, 75, 90, 100, 142, 150, 180, 213, 225, 284, 300, 355, 426, 450, 639, 710, 852, 900, 1065, 1278, 1420, 1775, 2130, 2556, 3195, 3550, 4260, 5325, 6390, 7100, 10650, 12780, 15975, 21300, 31950

Step-4: Factors of 63912

List of positive integer factors of 63912 that divides 63900 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2663, 5326, 7989, 10652, 15978, 21304, 31956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63900 and 63912. The biggest common factor number is the GCF number.
So the greatest common factor 63900 and 63912 is 12.

Also check out the Least Common Multiple of 63900 and 63912