What is the Greatest Common Factor of 21270 and 21280?

Greatest common factor (GCF) of 21270 and 21280 is 10.

GCF(21270,21280) = 10

We will now calculate the prime factors of 21270 and 21280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21270 and 21280.

How to find the GCF of 21270 and 21280?

We will first find the prime factorization of 21270 and 21280. After we will calculate the factors of 21270 and 21280 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 21280

Prime factors of 21280 are 2, 5, 7, 19. Prime factorization of 21280 in exponential form is:

21280 = 2⁵ × 5¹ × 7¹ × 19¹

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 21280

List of positive integer factors of 21280 that divides 21270 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40, 56, 70, 76, 80, 95, 112, 133, 140, 152, 160, 190, 224, 266, 280, 304, 380, 532, 560, 608, 665, 760, 1064, 1120, 1330, 1520, 2128, 2660, 3040, 4256, 5320, 10640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21270 and 21280. The biggest common factor number is the GCF number.
So the greatest common factor 21270 and 21280 is 10.

Also check out the Least Common Multiple of 21270 and 21280