What is the Greatest Common Factor of 63909 and 63927?

Greatest common factor (GCF) of 63909 and 63927 is 9.

GCF(63909,63927) = 9

We will now calculate the prime factors of 63909 and 63927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63909 and 63927.

How to find the GCF of 63909 and 63927?

We will first find the prime factorization of 63909 and 63927. After we will calculate the factors of 63909 and 63927 and find the biggest common factor number .

Step-1: Prime Factorization of 63909

Prime factors of 63909 are 3, 263. Prime factorization of 63909 in exponential form is:

63909 = 3⁵ × 263¹

Step-2: Prime Factorization of 63927

Prime factors of 63927 are 3, 7103. Prime factorization of 63927 in exponential form is:

63927 = 3² × 7103¹

Step-3: Factors of 63909

List of positive integer factors of 63909 that divides 63909 without a remainder.

1, 3, 9, 27, 81, 243, 263, 789, 2367, 7101, 21303

Step-4: Factors of 63927

List of positive integer factors of 63927 that divides 63909 without a remainder.

1, 3, 9, 7103, 21309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63909 and 63927. The biggest common factor number is the GCF number.
So the greatest common factor 63909 and 63927 is 9.

Also check out the Least Common Multiple of 63909 and 63927