What is the Greatest Common Factor of 16944 and 16964?

Greatest common factor (GCF) of 16944 and 16964 is 4.

GCF(16944,16964) = 4

We will now calculate the prime factors of 16944 and 16964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16944 and 16964.

How to find the GCF of 16944 and 16964?

We will first find the prime factorization of 16944 and 16964. After we will calculate the factors of 16944 and 16964 and find the biggest common factor number .

Step-1: Prime Factorization of 16944

Prime factors of 16944 are 2, 3, 353. Prime factorization of 16944 in exponential form is:

16944 = 2⁴ × 3¹ × 353¹

Step-2: Prime Factorization of 16964

Prime factors of 16964 are 2, 4241. Prime factorization of 16964 in exponential form is:

16964 = 2² × 4241¹

Step-3: Factors of 16944

List of positive integer factors of 16944 that divides 16944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472

Step-4: Factors of 16964

List of positive integer factors of 16964 that divides 16944 without a remainder.

1, 2, 4, 4241, 8482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16944 and 16964. The biggest common factor number is the GCF number.
So the greatest common factor 16944 and 16964 is 4.

Also check out the Least Common Multiple of 16944 and 16964