What is the Greatest Common Factor of 16664 and 16669?

Greatest common factor (GCF) of 16664 and 16669 is 1.

GCF(16664,16669) = 1

We will now calculate the prime factors of 16664 and 16669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16664 and 16669.

How to find the GCF of 16664 and 16669?

We will first find the prime factorization of 16664 and 16669. After we will calculate the factors of 16664 and 16669 and find the biggest common factor number .

Step-1: Prime Factorization of 16664

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

16664 = 2³ × 2083¹

Step-2: Prime Factorization of 16669

Prime factors of 16669 are 79, 211. Prime factorization of 16669 in exponential form is:

16669 = 79¹ × 211¹

Step-3: Factors of 16664

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

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

Step-4: Factors of 16669

List of positive integer factors of 16669 that divides 16664 without a remainder.

1, 79, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16664 and 16669. The biggest common factor number is the GCF number.
So the greatest common factor 16664 and 16669 is 1.

Also check out the Least Common Multiple of 16664 and 16669