What is the Greatest Common Factor of 21726 and 21745?

Greatest common factor (GCF) of 21726 and 21745 is 1.

GCF(21726,21745) = 1

We will now calculate the prime factors of 21726 and 21745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21726 and 21745.

How to find the GCF of 21726 and 21745?

We will first find the prime factorization of 21726 and 21745. After we will calculate the factors of 21726 and 21745 and find the biggest common factor number .

Step-1: Prime Factorization of 21726

Prime factors of 21726 are 2, 3, 17, 71. Prime factorization of 21726 in exponential form is:

21726 = 2¹ × 3² × 17¹ × 71¹

Step-2: Prime Factorization of 21745

Prime factors of 21745 are 5, 4349. Prime factorization of 21745 in exponential form is:

21745 = 5¹ × 4349¹

Step-3: Factors of 21726

List of positive integer factors of 21726 that divides 21726 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 71, 102, 142, 153, 213, 306, 426, 639, 1207, 1278, 2414, 3621, 7242, 10863

Step-4: Factors of 21745

List of positive integer factors of 21745 that divides 21726 without a remainder.

1, 5, 4349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21726 and 21745. The biggest common factor number is the GCF number.
So the greatest common factor 21726 and 21745 is 1.

Also check out the Least Common Multiple of 21726 and 21745