What is the Greatest Common Factor of 16646 and 16664?

Greatest common factor (GCF) of 16646 and 16664 is 2.

GCF(16646,16664) = 2

We will now calculate the prime factors of 16646 and 16664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16646 and 16664.

How to find the GCF of 16646 and 16664?

We will first find the prime factorization of 16646 and 16664. After we will calculate the factors of 16646 and 16664 and find the biggest common factor number .

Step-1: Prime Factorization of 16646

Prime factors of 16646 are 2, 7, 29, 41. Prime factorization of 16646 in exponential form is:

16646 = 2¹ × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 16664

Prime factors of 16664 are 2, 2083. Prime factorization of 16664 in exponential form is:

16664 = 2³ × 2083¹

Step-3: Factors of 16646

List of positive integer factors of 16646 that divides 16646 without a remainder.

1, 2, 7, 14, 29, 41, 58, 82, 203, 287, 406, 574, 1189, 2378, 8323

Step-4: Factors of 16664

List of positive integer factors of 16664 that divides 16646 without a remainder.

1, 2, 4, 8, 2083, 4166, 8332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16646 and 16664. The biggest common factor number is the GCF number.
So the greatest common factor 16646 and 16664 is 2.

Also check out the Least Common Multiple of 16646 and 16664