What is the Greatest Common Factor of 36685 and 36696?

Greatest common factor (GCF) of 36685 and 36696 is 11.

GCF(36685,36696) = 11

We will now calculate the prime factors of 36685 and 36696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36685 and 36696.

How to find the GCF of 36685 and 36696?

We will first find the prime factorization of 36685 and 36696. After we will calculate the factors of 36685 and 36696 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 36696

Prime factors of 36696 are 2, 3, 11, 139. Prime factorization of 36696 in exponential form is:

36696 = 2³ × 3¹ × 11¹ × 139¹

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 36696

List of positive integer factors of 36696 that divides 36685 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 139, 264, 278, 417, 556, 834, 1112, 1529, 1668, 3058, 3336, 4587, 6116, 9174, 12232, 18348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36685 and 36696. The biggest common factor number is the GCF number.
So the greatest common factor 36685 and 36696 is 11.

Also check out the Least Common Multiple of 36685 and 36696