What is the Greatest Common Factor of 36640 and 36650?

Greatest common factor (GCF) of 36640 and 36650 is 10.

GCF(36640,36650) = 10

We will now calculate the prime factors of 36640 and 36650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36640 and 36650.

How to find the GCF of 36640 and 36650?

We will first find the prime factorization of 36640 and 36650. After we will calculate the factors of 36640 and 36650 and find the biggest common factor number .

Step-1: Prime Factorization of 36640

Prime factors of 36640 are 2, 5, 229. Prime factorization of 36640 in exponential form is:

36640 = 2⁵ × 5¹ × 229¹

Step-2: Prime Factorization of 36650

Prime factors of 36650 are 2, 5, 733. Prime factorization of 36650 in exponential form is:

36650 = 2¹ × 5² × 733¹

Step-3: Factors of 36640

List of positive integer factors of 36640 that divides 36640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 229, 458, 916, 1145, 1832, 2290, 3664, 4580, 7328, 9160, 18320

Step-4: Factors of 36650

List of positive integer factors of 36650 that divides 36640 without a remainder.

1, 2, 5, 10, 25, 50, 733, 1466, 3665, 7330, 18325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36640 and 36650. The biggest common factor number is the GCF number.
So the greatest common factor 36640 and 36650 is 10.

Also check out the Least Common Multiple of 36640 and 36650