What is the Greatest Common Factor of 63300 and 63318?

Greatest common factor (GCF) of 63300 and 63318 is 6.

GCF(63300,63318) = 6

We will now calculate the prime factors of 63300 and 63318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63300 and 63318.

How to find the GCF of 63300 and 63318?

We will first find the prime factorization of 63300 and 63318. After we will calculate the factors of 63300 and 63318 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 63318

Prime factors of 63318 are 2, 3, 61, 173. Prime factorization of 63318 in exponential form is:

63318 = 2¹ × 3¹ × 61¹ × 173¹

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 63318

List of positive integer factors of 63318 that divides 63300 without a remainder.

1, 2, 3, 6, 61, 122, 173, 183, 346, 366, 519, 1038, 10553, 21106, 31659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63300 and 63318. The biggest common factor number is the GCF number.
So the greatest common factor 63300 and 63318 is 6.

Also check out the Least Common Multiple of 63300 and 63318