What is the Greatest Common Factor of 16944 and 16953?

Greatest common factor (GCF) of 16944 and 16953 is 3.

GCF(16944,16953) = 3

We will now calculate the prime factors of 16944 and 16953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16944 and 16953.

How to find the GCF of 16944 and 16953?

We will first find the prime factorization of 16944 and 16953. After we will calculate the factors of 16944 and 16953 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 16953

Prime factors of 16953 are 3, 5651. Prime factorization of 16953 in exponential form is:

16953 = 3¹ × 5651¹

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 16953

List of positive integer factors of 16953 that divides 16944 without a remainder.

1, 3, 5651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16944 and 16953. The biggest common factor number is the GCF number.
So the greatest common factor 16944 and 16953 is 3.

Also check out the Least Common Multiple of 16944 and 16953