What is the Greatest Common Factor of 17874 and 17884?

Greatest common factor (GCF) of 17874 and 17884 is 2.

GCF(17874,17884) = 2

We will now calculate the prime factors of 17874 and 17884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17884.

How to find the GCF of 17874 and 17884?

We will first find the prime factorization of 17874 and 17884. After we will calculate the factors of 17874 and 17884 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 17884

Prime factors of 17884 are 2, 17, 263. Prime factorization of 17884 in exponential form is:

17884 = 2² × 17¹ × 263¹

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 17884

List of positive integer factors of 17884 that divides 17874 without a remainder.

1, 2, 4, 17, 34, 68, 263, 526, 1052, 4471, 8942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17884. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17884 is 2.

Also check out the Least Common Multiple of 17874 and 17884