What is the Greatest Common Factor of 17874 and 17883?

Greatest common factor (GCF) of 17874 and 17883 is 9.

GCF(17874,17883) = 9

We will now calculate the prime factors of 17874 and 17883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17883.

How to find the GCF of 17874 and 17883?

We will first find the prime factorization of 17874 and 17883. After we will calculate the factors of 17874 and 17883 and find the biggest common factor number .

Step-1: Prime Factorization of 17874

Prime factors of 17874 are 2, 3, 331. Prime factorization of 17874 in exponential form is:

17874 = 2¹ × 3³ × 331¹

Step-2: Prime Factorization of 17883

Prime factors of 17883 are 3, 1987. Prime factorization of 17883 in exponential form is:

17883 = 3² × 1987¹

Step-3: Factors of 17874

List of positive integer factors of 17874 that divides 17874 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 331, 662, 993, 1986, 2979, 5958, 8937

Step-4: Factors of 17883

List of positive integer factors of 17883 that divides 17874 without a remainder.

1, 3, 9, 1987, 5961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17883. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17883 is 9.

Also check out the Least Common Multiple of 17874 and 17883