What is the Greatest Common Factor of 21375 and 21385?

Greatest common factor (GCF) of 21375 and 21385 is 5.

GCF(21375,21385) = 5

We will now calculate the prime factors of 21375 and 21385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21375 and 21385.

How to find the GCF of 21375 and 21385?

We will first find the prime factorization of 21375 and 21385. After we will calculate the factors of 21375 and 21385 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 21385

Prime factors of 21385 are 5, 7, 13, 47. Prime factorization of 21385 in exponential form is:

21385 = 5¹ × 7¹ × 13¹ × 47¹

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 21385

List of positive integer factors of 21385 that divides 21375 without a remainder.

1, 5, 7, 13, 35, 47, 65, 91, 235, 329, 455, 611, 1645, 3055, 4277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21375 and 21385. The biggest common factor number is the GCF number.
So the greatest common factor 21375 and 21385 is 5.

Also check out the Least Common Multiple of 21375 and 21385