What is the Greatest Common Factor of 17874 and 17886?

Greatest common factor (GCF) of 17874 and 17886 is 6.

GCF(17874,17886) = 6

We will now calculate the prime factors of 17874 and 17886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17886.

How to find the GCF of 17874 and 17886?

We will first find the prime factorization of 17874 and 17886. After we will calculate the factors of 17874 and 17886 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 17886

Prime factors of 17886 are 2, 3, 11, 271. Prime factorization of 17886 in exponential form is:

17886 = 2¹ × 3¹ × 11¹ × 271¹

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 17886

List of positive integer factors of 17886 that divides 17874 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 271, 542, 813, 1626, 2981, 5962, 8943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17886. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17886 is 6.

Also check out the Least Common Multiple of 17874 and 17886