What is the Greatest Common Factor of 21713 and 21717?

Greatest common factor (GCF) of 21713 and 21717 is 1.

GCF(21713,21717) = 1

We will now calculate the prime factors of 21713 and 21717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21713 and 21717.

How to find the GCF of 21713 and 21717?

We will first find the prime factorization of 21713 and 21717. After we will calculate the factors of 21713 and 21717 and find the biggest common factor number .

Step-1: Prime Factorization of 21713

Prime factors of 21713 are 21713. Prime factorization of 21713 in exponential form is:

21713 = 21713¹

Step-2: Prime Factorization of 21717

Prime factors of 21717 are 3, 19, 127. Prime factorization of 21717 in exponential form is:

21717 = 3² × 19¹ × 127¹

Step-3: Factors of 21713

List of positive integer factors of 21713 that divides 21713 without a remainder.

Step-4: Factors of 21717

List of positive integer factors of 21717 that divides 21713 without a remainder.

1, 3, 9, 19, 57, 127, 171, 381, 1143, 2413, 7239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21713 and 21717. The biggest common factor number is the GCF number.
So the greatest common factor 21713 and 21717 is 1.

Also check out the Least Common Multiple of 21713 and 21717