What is the Greatest Common Factor of 17904 and 17911?

Greatest common factor (GCF) of 17904 and 17911 is 1.

GCF(17904,17911) = 1

We will now calculate the prime factors of 17904 and 17911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17904 and 17911.

How to find the GCF of 17904 and 17911?

We will first find the prime factorization of 17904 and 17911. After we will calculate the factors of 17904 and 17911 and find the biggest common factor number .

Step-1: Prime Factorization of 17904

Prime factors of 17904 are 2, 3, 373. Prime factorization of 17904 in exponential form is:

17904 = 2⁴ × 3¹ × 373¹

Step-2: Prime Factorization of 17911

Prime factors of 17911 are 17911. Prime factorization of 17911 in exponential form is:

17911 = 17911¹

Step-3: Factors of 17904

List of positive integer factors of 17904 that divides 17904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952

Step-4: Factors of 17911

List of positive integer factors of 17911 that divides 17904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17904 and 17911. The biggest common factor number is the GCF number.
So the greatest common factor 17904 and 17911 is 1.

Also check out the Least Common Multiple of 17904 and 17911