What is the Greatest Common Factor of 16640 and 16645?

Greatest common factor (GCF) of 16640 and 16645 is 5.

GCF(16640,16645) = 5

We will now calculate the prime factors of 16640 and 16645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16640 and 16645.

How to find the GCF of 16640 and 16645?

We will first find the prime factorization of 16640 and 16645. After we will calculate the factors of 16640 and 16645 and find the biggest common factor number .

Step-1: Prime Factorization of 16640

Prime factors of 16640 are 2, 5, 13. Prime factorization of 16640 in exponential form is:

16640 = 2⁸ × 5¹ × 13¹

Step-2: Prime Factorization of 16645

Prime factors of 16645 are 5, 3329. Prime factorization of 16645 in exponential form is:

16645 = 5¹ × 3329¹

Step-3: Factors of 16640

List of positive integer factors of 16640 that divides 16640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 520, 640, 832, 1040, 1280, 1664, 2080, 3328, 4160, 8320

Step-4: Factors of 16645

List of positive integer factors of 16645 that divides 16640 without a remainder.

1, 5, 3329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16640 and 16645. The biggest common factor number is the GCF number.
So the greatest common factor 16640 and 16645 is 5.

Also check out the Least Common Multiple of 16640 and 16645