What is the Greatest Common Factor of 36675 and 36693?

Greatest common factor (GCF) of 36675 and 36693 is 9.

GCF(36675,36693) = 9

We will now calculate the prime factors of 36675 and 36693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36675 and 36693.

How to find the GCF of 36675 and 36693?

We will first find the prime factorization of 36675 and 36693. After we will calculate the factors of 36675 and 36693 and find the biggest common factor number .

Step-1: Prime Factorization of 36675

Prime factors of 36675 are 3, 5, 163. Prime factorization of 36675 in exponential form is:

36675 = 3² × 5² × 163¹

Step-2: Prime Factorization of 36693

Prime factors of 36693 are 3, 151. Prime factorization of 36693 in exponential form is:

36693 = 3⁵ × 151¹

Step-3: Factors of 36675

List of positive integer factors of 36675 that divides 36675 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 163, 225, 489, 815, 1467, 2445, 4075, 7335, 12225

Step-4: Factors of 36693

List of positive integer factors of 36693 that divides 36675 without a remainder.

1, 3, 9, 27, 81, 151, 243, 453, 1359, 4077, 12231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36675 and 36693. The biggest common factor number is the GCF number.
So the greatest common factor 36675 and 36693 is 9.

Also check out the Least Common Multiple of 36675 and 36693