What is the Greatest Common Factor of 63333 and 63339?

Greatest common factor (GCF) of 63333 and 63339 is 3.

GCF(63333,63339) = 3

We will now calculate the prime factors of 63333 and 63339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63333 and 63339.

How to find the GCF of 63333 and 63339?

We will first find the prime factorization of 63333 and 63339. After we will calculate the factors of 63333 and 63339 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63339

Prime factors of 63339 are 3, 43, 491. Prime factorization of 63339 in exponential form is:

63339 = 3¹ × 43¹ × 491¹

Step-3: Factors of 63333

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

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

Step-4: Factors of 63339

List of positive integer factors of 63339 that divides 63333 without a remainder.

1, 3, 43, 129, 491, 1473, 21113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63333 and 63339. The biggest common factor number is the GCF number.
So the greatest common factor 63333 and 63339 is 3.

Also check out the Least Common Multiple of 63333 and 63339