What is the Greatest Common Factor of 21280 and 21289?

Greatest common factor (GCF) of 21280 and 21289 is 1.

GCF(21280,21289) = 1

We will now calculate the prime factors of 21280 and 21289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21280 and 21289.

How to find the GCF of 21280 and 21289?

We will first find the prime factorization of 21280 and 21289. After we will calculate the factors of 21280 and 21289 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 21289

Prime factors of 21289 are 61, 349. Prime factorization of 21289 in exponential form is:

21289 = 61¹ × 349¹

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 21289

List of positive integer factors of 21289 that divides 21280 without a remainder.

1, 61, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21280 and 21289. The biggest common factor number is the GCF number.
So the greatest common factor 21280 and 21289 is 1.

Also check out the Least Common Multiple of 21280 and 21289