What is the Greatest Common Factor of 17996 and 18016?

Greatest common factor (GCF) of 17996 and 18016 is 4.

GCF(17996,18016) = 4

We will now calculate the prime factors of 17996 and 18016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17996 and 18016.

How to find the GCF of 17996 and 18016?

We will first find the prime factorization of 17996 and 18016. After we will calculate the factors of 17996 and 18016 and find the biggest common factor number .

Step-1: Prime Factorization of 17996

Prime factors of 17996 are 2, 11, 409. Prime factorization of 17996 in exponential form is:

17996 = 2² × 11¹ × 409¹

Step-2: Prime Factorization of 18016

Prime factors of 18016 are 2, 563. Prime factorization of 18016 in exponential form is:

18016 = 2⁵ × 563¹

Step-3: Factors of 17996

List of positive integer factors of 17996 that divides 17996 without a remainder.

1, 2, 4, 11, 22, 44, 409, 818, 1636, 4499, 8998

Step-4: Factors of 18016

List of positive integer factors of 18016 that divides 17996 without a remainder.

1, 2, 4, 8, 16, 32, 563, 1126, 2252, 4504, 9008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17996 and 18016. The biggest common factor number is the GCF number.
So the greatest common factor 17996 and 18016 is 4.

Also check out the Least Common Multiple of 17996 and 18016