What is the Greatest Common Factor of 36675 and 36694?

Greatest common factor (GCF) of 36675 and 36694 is 1.

GCF(36675,36694) = 1

We will now calculate the prime factors of 36675 and 36694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36675 and 36694.

How to find the GCF of 36675 and 36694?

We will first find the prime factorization of 36675 and 36694. After we will calculate the factors of 36675 and 36694 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 36694

Prime factors of 36694 are 2, 7, 2621. Prime factorization of 36694 in exponential form is:

36694 = 2¹ × 7¹ × 2621¹

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 36694

List of positive integer factors of 36694 that divides 36675 without a remainder.

1, 2, 7, 14, 2621, 5242, 18347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36675 and 36694. The biggest common factor number is the GCF number.
So the greatest common factor 36675 and 36694 is 1.

Also check out the Least Common Multiple of 36675 and 36694