What is the Greatest Common Factor of 36685 and 36695?

Greatest common factor (GCF) of 36685 and 36695 is 5.

GCF(36685,36695) = 5

We will now calculate the prime factors of 36685 and 36695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36685 and 36695.

How to find the GCF of 36685 and 36695?

We will first find the prime factorization of 36685 and 36695. After we will calculate the factors of 36685 and 36695 and find the biggest common factor number .

Step-1: Prime Factorization of 36685

Prime factors of 36685 are 5, 11, 23, 29. Prime factorization of 36685 in exponential form is:

36685 = 5¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 36695

Prime factors of 36695 are 5, 41, 179. Prime factorization of 36695 in exponential form is:

36695 = 5¹ × 41¹ × 179¹

Step-3: Factors of 36685

List of positive integer factors of 36685 that divides 36685 without a remainder.

1, 5, 11, 23, 29, 55, 115, 145, 253, 319, 667, 1265, 1595, 3335, 7337

Step-4: Factors of 36695

List of positive integer factors of 36695 that divides 36685 without a remainder.

1, 5, 41, 179, 205, 895, 7339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36685 and 36695. The biggest common factor number is the GCF number.
So the greatest common factor 36685 and 36695 is 5.

Also check out the Least Common Multiple of 36685 and 36695