What is the Greatest Common Factor of 21280 and 21296?

Greatest common factor (GCF) of 21280 and 21296 is 16.

GCF(21280,21296) = 16

We will now calculate the prime factors of 21280 and 21296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21280 and 21296.

How to find the GCF of 21280 and 21296?

We will first find the prime factorization of 21280 and 21296. After we will calculate the factors of 21280 and 21296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21296

Prime factors of 21296 are 2, 11. Prime factorization of 21296 in exponential form is:

21296 = 2⁴ × 11³

Step-3: Factors of 21280

List of positive integer factors of 21280 that divides 21280 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

Step-4: Factors of 21296

List of positive integer factors of 21296 that divides 21280 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1331, 1936, 2662, 5324, 10648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21280 and 21296. The biggest common factor number is the GCF number.
So the greatest common factor 21280 and 21296 is 16.

Also check out the Least Common Multiple of 21280 and 21296