What is the Greatest Common Factor of 63399 and 63405?

Greatest common factor (GCF) of 63399 and 63405 is 3.

GCF(63399,63405) = 3

We will now calculate the prime factors of 63399 and 63405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63399 and 63405.

How to find the GCF of 63399 and 63405?

We will first find the prime factorization of 63399 and 63405. After we will calculate the factors of 63399 and 63405 and find the biggest common factor number .

Step-1: Prime Factorization of 63399

Prime factors of 63399 are 3, 7, 3019. Prime factorization of 63399 in exponential form is:

63399 = 3¹ × 7¹ × 3019¹

Step-2: Prime Factorization of 63405

Prime factors of 63405 are 3, 5, 1409. Prime factorization of 63405 in exponential form is:

63405 = 3² × 5¹ × 1409¹

Step-3: Factors of 63399

List of positive integer factors of 63399 that divides 63399 without a remainder.

1, 3, 7, 21, 3019, 9057, 21133

Step-4: Factors of 63405

List of positive integer factors of 63405 that divides 63399 without a remainder.

1, 3, 5, 9, 15, 45, 1409, 4227, 7045, 12681, 21135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63399 and 63405. The biggest common factor number is the GCF number.
So the greatest common factor 63399 and 63405 is 3.

Also check out the Least Common Multiple of 63399 and 63405