What is the Greatest Common Factor of 17917 and 17921?

Greatest common factor (GCF) of 17917 and 17921 is 1.

GCF(17917,17921) = 1

We will now calculate the prime factors of 17917 and 17921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17917 and 17921.

How to find the GCF of 17917 and 17921?

We will first find the prime factorization of 17917 and 17921. After we will calculate the factors of 17917 and 17921 and find the biggest common factor number .

Step-1: Prime Factorization of 17917

Prime factors of 17917 are 19, 23, 41. Prime factorization of 17917 in exponential form is:

17917 = 19¹ × 23¹ × 41¹

Step-2: Prime Factorization of 17921

Prime factors of 17921 are 17921. Prime factorization of 17921 in exponential form is:

17921 = 17921¹

Step-3: Factors of 17917

List of positive integer factors of 17917 that divides 17917 without a remainder.

1, 19, 23, 41, 437, 779, 943

Step-4: Factors of 17921

List of positive integer factors of 17921 that divides 17917 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17917 and 17921. The biggest common factor number is the GCF number.
So the greatest common factor 17917 and 17921 is 1.

Also check out the Least Common Multiple of 17917 and 17921