What is the Greatest Common Factor of 63893 and 63909?

Greatest common factor (GCF) of 63893 and 63909 is 1.

GCF(63893,63909) = 1

We will now calculate the prime factors of 63893 and 63909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63893 and 63909.

How to find the GCF of 63893 and 63909?

We will first find the prime factorization of 63893 and 63909. After we will calculate the factors of 63893 and 63909 and find the biggest common factor number .

Step-1: Prime Factorization of 63893

Prime factors of 63893 are 181, 353. Prime factorization of 63893 in exponential form is:

63893 = 181¹ × 353¹

Step-2: Prime Factorization of 63909

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

63909 = 3⁵ × 263¹

Step-3: Factors of 63893

List of positive integer factors of 63893 that divides 63893 without a remainder.

1, 181, 353

Step-4: Factors of 63909

List of positive integer factors of 63909 that divides 63893 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63893 and 63909. The biggest common factor number is the GCF number.
So the greatest common factor 63893 and 63909 is 1.

Also check out the Least Common Multiple of 63893 and 63909