What is the Greatest Common Factor of 84375 and 84394?

Greatest common factor (GCF) of 84375 and 84394 is 1.

GCF(84375,84394) = 1

We will now calculate the prime factors of 84375 and 84394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84375 and 84394.

How to find the GCF of 84375 and 84394?

We will first find the prime factorization of 84375 and 84394. After we will calculate the factors of 84375 and 84394 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 84394

Prime factors of 84394 are 2, 42197. Prime factorization of 84394 in exponential form is:

84394 = 2¹ × 42197¹

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 84394

List of positive integer factors of 84394 that divides 84375 without a remainder.

1, 2, 42197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84375 and 84394. The biggest common factor number is the GCF number.
So the greatest common factor 84375 and 84394 is 1.

Also check out the Least Common Multiple of 84375 and 84394