What is the Greatest Common Factor of 21280 and 21295?

Greatest common factor (GCF) of 21280 and 21295 is 5.

GCF(21280,21295) = 5

We will now calculate the prime factors of 21280 and 21295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21280 and 21295.

How to find the GCF of 21280 and 21295?

We will first find the prime factorization of 21280 and 21295. After we will calculate the factors of 21280 and 21295 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 21295

Prime factors of 21295 are 5, 4259. Prime factorization of 21295 in exponential form is:

21295 = 5¹ × 4259¹

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 21295

List of positive integer factors of 21295 that divides 21280 without a remainder.

1, 5, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21280 and 21295. The biggest common factor number is the GCF number.
So the greatest common factor 21280 and 21295 is 5.

Also check out the Least Common Multiple of 21280 and 21295