What is the Greatest Common Factor of 17874 and 17882?

Greatest common factor (GCF) of 17874 and 17882 is 2.

GCF(17874,17882) = 2

We will now calculate the prime factors of 17874 and 17882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17882.

How to find the GCF of 17874 and 17882?

We will first find the prime factorization of 17874 and 17882. After we will calculate the factors of 17874 and 17882 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 17882

Prime factors of 17882 are 2, 8941. Prime factorization of 17882 in exponential form is:

17882 = 2¹ × 8941¹

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 17882

List of positive integer factors of 17882 that divides 17874 without a remainder.

1, 2, 8941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17882. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17882 is 2.

Also check out the Least Common Multiple of 17874 and 17882