What is the Greatest Common Factor of 36634 and 36640?

Greatest common factor (GCF) of 36634 and 36640 is 2.

GCF(36634,36640) = 2

We will now calculate the prime factors of 36634 and 36640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36634 and 36640.

How to find the GCF of 36634 and 36640?

We will first find the prime factorization of 36634 and 36640. After we will calculate the factors of 36634 and 36640 and find the biggest common factor number .

Step-1: Prime Factorization of 36634

Prime factors of 36634 are 2, 13, 1409. Prime factorization of 36634 in exponential form is:

36634 = 2¹ × 13¹ × 1409¹

Step-2: 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-3: Factors of 36634

List of positive integer factors of 36634 that divides 36634 without a remainder.

1, 2, 13, 26, 1409, 2818, 18317

Step-4: Factors of 36640

List of positive integer factors of 36640 that divides 36634 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36634 and 36640. The biggest common factor number is the GCF number.
So the greatest common factor 36634 and 36640 is 2.

Also check out the Least Common Multiple of 36634 and 36640