What is the Greatest Common Factor of 16664 and 16672?

Greatest common factor (GCF) of 16664 and 16672 is 8.

GCF(16664,16672) = 8

We will now calculate the prime factors of 16664 and 16672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16664 and 16672.

How to find the GCF of 16664 and 16672?

We will first find the prime factorization of 16664 and 16672. After we will calculate the factors of 16664 and 16672 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 16672

Prime factors of 16672 are 2, 521. Prime factorization of 16672 in exponential form is:

16672 = 2⁵ × 521¹

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 16672

List of positive integer factors of 16672 that divides 16664 without a remainder.

1, 2, 4, 8, 16, 32, 521, 1042, 2084, 4168, 8336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16664 and 16672. The biggest common factor number is the GCF number.
So the greatest common factor 16664 and 16672 is 8.

Also check out the Least Common Multiple of 16664 and 16672