What is the Greatest Common Factor of 21713 and 21725?

Greatest common factor (GCF) of 21713 and 21725 is 1.

GCF(21713,21725) = 1

We will now calculate the prime factors of 21713 and 21725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21713 and 21725.

How to find the GCF of 21713 and 21725?

We will first find the prime factorization of 21713 and 21725. After we will calculate the factors of 21713 and 21725 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 21725

Prime factors of 21725 are 5, 11, 79. Prime factorization of 21725 in exponential form is:

21725 = 5² × 11¹ × 79¹

Step-3: Factors of 21713

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

Step-4: Factors of 21725

List of positive integer factors of 21725 that divides 21713 without a remainder.

1, 5, 11, 25, 55, 79, 275, 395, 869, 1975, 4345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21713 and 21725. The biggest common factor number is the GCF number.
So the greatest common factor 21713 and 21725 is 1.

Also check out the Least Common Multiple of 21713 and 21725