What is the Greatest Common Factor of 16672 and 16688?

Greatest common factor (GCF) of 16672 and 16688 is 16.

GCF(16672,16688) = 16

We will now calculate the prime factors of 16672 and 16688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16672 and 16688.

How to find the GCF of 16672 and 16688?

We will first find the prime factorization of 16672 and 16688. After we will calculate the factors of 16672 and 16688 and find the biggest common factor number .

Step-1: Prime Factorization of 16672

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

16672 = 2⁵ × 521¹

Step-2: Prime Factorization of 16688

Prime factors of 16688 are 2, 7, 149. Prime factorization of 16688 in exponential form is:

16688 = 2⁴ × 7¹ × 149¹

Step-3: Factors of 16672

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

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

Step-4: Factors of 16688

List of positive integer factors of 16688 that divides 16672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086, 2384, 4172, 8344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16672 and 16688. The biggest common factor number is the GCF number.
So the greatest common factor 16672 and 16688 is 16.

Also check out the Least Common Multiple of 16672 and 16688