What is the Greatest Common Factor of 17990 and 18008?

Greatest common factor (GCF) of 17990 and 18008 is 2.

GCF(17990,18008) = 2

We will now calculate the prime factors of 17990 and 18008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17990 and 18008.

How to find the GCF of 17990 and 18008?

We will first find the prime factorization of 17990 and 18008. After we will calculate the factors of 17990 and 18008 and find the biggest common factor number .

Step-1: Prime Factorization of 17990

Prime factors of 17990 are 2, 5, 7, 257. Prime factorization of 17990 in exponential form is:

17990 = 2¹ × 5¹ × 7¹ × 257¹

Step-2: Prime Factorization of 18008

Prime factors of 18008 are 2, 2251. Prime factorization of 18008 in exponential form is:

18008 = 2³ × 2251¹

Step-3: Factors of 17990

List of positive integer factors of 17990 that divides 17990 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 257, 514, 1285, 1799, 2570, 3598, 8995

Step-4: Factors of 18008

List of positive integer factors of 18008 that divides 17990 without a remainder.

1, 2, 4, 8, 2251, 4502, 9004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17990 and 18008. The biggest common factor number is the GCF number.
So the greatest common factor 17990 and 18008 is 2.

Also check out the Least Common Multiple of 17990 and 18008