What is the Greatest Common Factor of 21270 and 21279?

Greatest common factor (GCF) of 21270 and 21279 is 3.

GCF(21270,21279) = 3

We will now calculate the prime factors of 21270 and 21279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21270 and 21279.

How to find the GCF of 21270 and 21279?

We will first find the prime factorization of 21270 and 21279. After we will calculate the factors of 21270 and 21279 and find the biggest common factor number .

Step-1: Prime Factorization of 21270

Prime factors of 21270 are 2, 3, 5, 709. Prime factorization of 21270 in exponential form is:

21270 = 2¹ × 3¹ × 5¹ × 709¹

Step-2: Prime Factorization of 21279

Prime factors of 21279 are 3, 41, 173. Prime factorization of 21279 in exponential form is:

21279 = 3¹ × 41¹ × 173¹

Step-3: Factors of 21270

List of positive integer factors of 21270 that divides 21270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 709, 1418, 2127, 3545, 4254, 7090, 10635

Step-4: Factors of 21279

List of positive integer factors of 21279 that divides 21270 without a remainder.

1, 3, 41, 123, 173, 519, 7093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21270 and 21279. The biggest common factor number is the GCF number.
So the greatest common factor 21270 and 21279 is 3.

Also check out the Least Common Multiple of 21270 and 21279