What is the Greatest Common Factor of 63300 and 63312?

Greatest common factor (GCF) of 63300 and 63312 is 12.

GCF(63300,63312) = 12

We will now calculate the prime factors of 63300 and 63312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63300 and 63312.

How to find the GCF of 63300 and 63312?

We will first find the prime factorization of 63300 and 63312. After we will calculate the factors of 63300 and 63312 and find the biggest common factor number .

Step-1: Prime Factorization of 63300

Prime factors of 63300 are 2, 3, 5, 211. Prime factorization of 63300 in exponential form is:

63300 = 2² × 3¹ × 5² × 211¹

Step-2: Prime Factorization of 63312

Prime factors of 63312 are 2, 3, 1319. Prime factorization of 63312 in exponential form is:

63312 = 2⁴ × 3¹ × 1319¹

Step-3: Factors of 63300

List of positive integer factors of 63300 that divides 63300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 211, 300, 422, 633, 844, 1055, 1266, 2110, 2532, 3165, 4220, 5275, 6330, 10550, 12660, 15825, 21100, 31650

Step-4: Factors of 63312

List of positive integer factors of 63312 that divides 63300 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1319, 2638, 3957, 5276, 7914, 10552, 15828, 21104, 31656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63300 and 63312. The biggest common factor number is the GCF number.
So the greatest common factor 63300 and 63312 is 12.

Also check out the Least Common Multiple of 63300 and 63312