What is the Greatest Common Factor of 16627 and 16640?

Greatest common factor (GCF) of 16627 and 16640 is 13.

GCF(16627,16640) = 13

We will now calculate the prime factors of 16627 and 16640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16627 and 16640.

How to find the GCF of 16627 and 16640?

We will first find the prime factorization of 16627 and 16640. After we will calculate the factors of 16627 and 16640 and find the biggest common factor number .

Step-1: Prime Factorization of 16627

Prime factors of 16627 are 13, 1279. Prime factorization of 16627 in exponential form is:

16627 = 13¹ × 1279¹

Step-2: 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-3: Factors of 16627

List of positive integer factors of 16627 that divides 16627 without a remainder.

1, 13, 1279

Step-4: Factors of 16640

List of positive integer factors of 16640 that divides 16627 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16627 and 16640. The biggest common factor number is the GCF number.
So the greatest common factor 16627 and 16640 is 13.

Also check out the Least Common Multiple of 16627 and 16640