What is the Greatest Common Factor of 84375 and 84395?

Greatest common factor (GCF) of 84375 and 84395 is 5.

GCF(84375,84395) = 5

We will now calculate the prime factors of 84375 and 84395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84375 and 84395.

How to find the GCF of 84375 and 84395?

We will first find the prime factorization of 84375 and 84395. After we will calculate the factors of 84375 and 84395 and find the biggest common factor number .

Step-1: Prime Factorization of 84375

Prime factors of 84375 are 3, 5. Prime factorization of 84375 in exponential form is:

84375 = 3³ × 5⁵

Step-2: Prime Factorization of 84395

Prime factors of 84395 are 5, 16879. Prime factorization of 84395 in exponential form is:

84395 = 5¹ × 16879¹

Step-3: Factors of 84375

List of positive integer factors of 84375 that divides 84375 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1125, 1875, 3125, 3375, 5625, 9375, 16875, 28125

Step-4: Factors of 84395

List of positive integer factors of 84395 that divides 84375 without a remainder.

1, 5, 16879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84375 and 84395. The biggest common factor number is the GCF number.
So the greatest common factor 84375 and 84395 is 5.

Also check out the Least Common Multiple of 84375 and 84395