What is the Greatest Common Factor of 84375 and 84379?

Greatest common factor (GCF) of 84375 and 84379 is 1.

GCF(84375,84379) = 1

We will now calculate the prime factors of 84375 and 84379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84375 and 84379.

How to find the GCF of 84375 and 84379?

We will first find the prime factorization of 84375 and 84379. After we will calculate the factors of 84375 and 84379 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 84379

Prime factors of 84379 are 19, 4441. Prime factorization of 84379 in exponential form is:

84379 = 19¹ × 4441¹

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 84379

List of positive integer factors of 84379 that divides 84375 without a remainder.

1, 19, 4441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84375 and 84379. The biggest common factor number is the GCF number.
So the greatest common factor 84375 and 84379 is 1.

Also check out the Least Common Multiple of 84375 and 84379