What is the Greatest Common Factor of 21270 and 21290?

Greatest common factor (GCF) of 21270 and 21290 is 10.

GCF(21270,21290) = 10

We will now calculate the prime factors of 21270 and 21290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21270 and 21290.

How to find the GCF of 21270 and 21290?

We will first find the prime factorization of 21270 and 21290. After we will calculate the factors of 21270 and 21290 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 21290

Prime factors of 21290 are 2, 5, 2129. Prime factorization of 21290 in exponential form is:

21290 = 2¹ × 5¹ × 2129¹

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 21290

List of positive integer factors of 21290 that divides 21270 without a remainder.

1, 2, 5, 10, 2129, 4258, 10645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21270 and 21290. The biggest common factor number is the GCF number.
So the greatest common factor 21270 and 21290 is 10.

Also check out the Least Common Multiple of 21270 and 21290