What is the Greatest Common Factor of 84675 and 84684?

Greatest common factor (GCF) of 84675 and 84684 is 3.

GCF(84675,84684) = 3

We will now calculate the prime factors of 84675 and 84684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84675 and 84684.

How to find the GCF of 84675 and 84684?

We will first find the prime factorization of 84675 and 84684. After we will calculate the factors of 84675 and 84684 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 84684

Prime factors of 84684 are 2, 3, 7057. Prime factorization of 84684 in exponential form is:

84684 = 2² × 3¹ × 7057¹

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 84684

List of positive integer factors of 84684 that divides 84675 without a remainder.

1, 2, 3, 4, 6, 12, 7057, 14114, 21171, 28228, 42342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84675 and 84684. The biggest common factor number is the GCF number.
So the greatest common factor 84675 and 84684 is 3.

Also check out the Least Common Multiple of 84675 and 84684