What is the Greatest Common Factor of 63909 and 63921?

Greatest common factor (GCF) of 63909 and 63921 is 3.

GCF(63909,63921) = 3

We will now calculate the prime factors of 63909 and 63921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63909 and 63921.

How to find the GCF of 63909 and 63921?

We will first find the prime factorization of 63909 and 63921. After we will calculate the factors of 63909 and 63921 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 63921

Prime factors of 63921 are 3, 11, 13, 149. Prime factorization of 63921 in exponential form is:

63921 = 3¹ × 11¹ × 13¹ × 149¹

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 63921

List of positive integer factors of 63921 that divides 63909 without a remainder.

1, 3, 11, 13, 33, 39, 143, 149, 429, 447, 1639, 1937, 4917, 5811, 21307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63909 and 63921. The biggest common factor number is the GCF number.
So the greatest common factor 63909 and 63921 is 3.

Also check out the Least Common Multiple of 63909 and 63921