What is the Greatest Common Factor of 21375 and 21395?

Greatest common factor (GCF) of 21375 and 21395 is 5.

GCF(21375,21395) = 5

We will now calculate the prime factors of 21375 and 21395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21375 and 21395.

How to find the GCF of 21375 and 21395?

We will first find the prime factorization of 21375 and 21395. After we will calculate the factors of 21375 and 21395 and find the biggest common factor number .

Step-1: Prime Factorization of 21375

Prime factors of 21375 are 3, 5, 19. Prime factorization of 21375 in exponential form is:

21375 = 3² × 5³ × 19¹

Step-2: Prime Factorization of 21395

Prime factors of 21395 are 5, 11, 389. Prime factorization of 21395 in exponential form is:

21395 = 5¹ × 11¹ × 389¹

Step-3: Factors of 21375

List of positive integer factors of 21375 that divides 21375 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 125, 171, 225, 285, 375, 475, 855, 1125, 1425, 2375, 4275, 7125

Step-4: Factors of 21395

List of positive integer factors of 21395 that divides 21375 without a remainder.

1, 5, 11, 55, 389, 1945, 4279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21375 and 21395. The biggest common factor number is the GCF number.
So the greatest common factor 21375 and 21395 is 5.

Also check out the Least Common Multiple of 21375 and 21395