What is the Greatest Common Factor of 84675 and 84681?

Greatest common factor (GCF) of 84675 and 84681 is 3.

GCF(84675,84681) = 3

We will now calculate the prime factors of 84675 and 84681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84675 and 84681.

How to find the GCF of 84675 and 84681?

We will first find the prime factorization of 84675 and 84681. After we will calculate the factors of 84675 and 84681 and find the biggest common factor number .

Step-1: Prime Factorization of 84675

Prime factors of 84675 are 3, 5, 1129. Prime factorization of 84675 in exponential form is:

84675 = 3¹ × 5² × 1129¹

Step-2: Prime Factorization of 84681

Prime factors of 84681 are 3, 97. Prime factorization of 84681 in exponential form is:

84681 = 3² × 97²

Step-3: Factors of 84675

List of positive integer factors of 84675 that divides 84675 without a remainder.

1, 3, 5, 15, 25, 75, 1129, 3387, 5645, 16935, 28225

Step-4: Factors of 84681

List of positive integer factors of 84681 that divides 84675 without a remainder.

1, 3, 9, 97, 291, 873, 9409, 28227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84675 and 84681. The biggest common factor number is the GCF number.
So the greatest common factor 84675 and 84681 is 3.

Also check out the Least Common Multiple of 84675 and 84681