What is the Greatest Common Factor of 63909 and 63925?

Greatest common factor (GCF) of 63909 and 63925 is 1.

GCF(63909,63925) = 1

We will now calculate the prime factors of 63909 and 63925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63909 and 63925.

How to find the GCF of 63909 and 63925?

We will first find the prime factorization of 63909 and 63925. After we will calculate the factors of 63909 and 63925 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 63925

Prime factors of 63925 are 5, 2557. Prime factorization of 63925 in exponential form is:

63925 = 5² × 2557¹

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 63925

List of positive integer factors of 63925 that divides 63909 without a remainder.

1, 5, 25, 2557, 12785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63909 and 63925. The biggest common factor number is the GCF number.
So the greatest common factor 63909 and 63925 is 1.

Also check out the Least Common Multiple of 63909 and 63925