What is the Greatest Common Factor of 63324 and 63333?

Greatest common factor (GCF) of 63324 and 63333 is 9.

GCF(63324,63333) = 9

We will now calculate the prime factors of 63324 and 63333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63324 and 63333.

How to find the GCF of 63324 and 63333?

We will first find the prime factorization of 63324 and 63333. After we will calculate the factors of 63324 and 63333 and find the biggest common factor number .

Step-1: Prime Factorization of 63324

Prime factors of 63324 are 2, 3, 1759. Prime factorization of 63324 in exponential form is:

63324 = 2² × 3² × 1759¹

Step-2: Prime Factorization of 63333

Prime factors of 63333 are 3, 31, 227. Prime factorization of 63333 in exponential form is:

63333 = 3² × 31¹ × 227¹

Step-3: Factors of 63324

List of positive integer factors of 63324 that divides 63324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1759, 3518, 5277, 7036, 10554, 15831, 21108, 31662

Step-4: Factors of 63333

List of positive integer factors of 63333 that divides 63324 without a remainder.

1, 3, 9, 31, 93, 227, 279, 681, 2043, 7037, 21111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63324 and 63333. The biggest common factor number is the GCF number.
So the greatest common factor 63324 and 63333 is 9.

Also check out the Least Common Multiple of 63324 and 63333