What is the Greatest Common Factor of 84675 and 84693?

Greatest common factor (GCF) of 84675 and 84693 is 3.

GCF(84675,84693) = 3

We will now calculate the prime factors of 84675 and 84693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84675 and 84693.

How to find the GCF of 84675 and 84693?

We will first find the prime factorization of 84675 and 84693. After we will calculate the factors of 84675 and 84693 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 84693

Prime factors of 84693 are 3, 7, 37, 109. Prime factorization of 84693 in exponential form is:

84693 = 3¹ × 7¹ × 37¹ × 109¹

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 84693

List of positive integer factors of 84693 that divides 84675 without a remainder.

1, 3, 7, 21, 37, 109, 111, 259, 327, 763, 777, 2289, 4033, 12099, 28231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84675 and 84693. The biggest common factor number is the GCF number.
So the greatest common factor 84675 and 84693 is 3.

Also check out the Least Common Multiple of 84675 and 84693