What is the Greatest Common Factor of 63399 and 63406?

Greatest common factor (GCF) of 63399 and 63406 is 7.

GCF(63399,63406) = 7

We will now calculate the prime factors of 63399 and 63406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63399 and 63406.

How to find the GCF of 63399 and 63406?

We will first find the prime factorization of 63399 and 63406. After we will calculate the factors of 63399 and 63406 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 63406

Prime factors of 63406 are 2, 7, 647. Prime factorization of 63406 in exponential form is:

63406 = 2¹ × 7² × 647¹

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 63406

List of positive integer factors of 63406 that divides 63399 without a remainder.

1, 2, 7, 14, 49, 98, 647, 1294, 4529, 9058, 31703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63399 and 63406. The biggest common factor number is the GCF number.
So the greatest common factor 63399 and 63406 is 7.

Also check out the Least Common Multiple of 63399 and 63406