What is the Greatest Common Factor of 18734 and 18742?

Greatest common factor (GCF) of 18734 and 18742 is 2.

GCF(18734,18742) = 2

We will now calculate the prime factors of 18734 and 18742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18734 and 18742.

How to find the GCF of 18734 and 18742?

We will first find the prime factorization of 18734 and 18742. After we will calculate the factors of 18734 and 18742 and find the biggest common factor number .

Step-1: Prime Factorization of 18734

Prime factors of 18734 are 2, 17, 19, 29. Prime factorization of 18734 in exponential form is:

18734 = 2¹ × 17¹ × 19¹ × 29¹

Step-2: Prime Factorization of 18742

Prime factors of 18742 are 2, 9371. Prime factorization of 18742 in exponential form is:

18742 = 2¹ × 9371¹

Step-3: Factors of 18734

List of positive integer factors of 18734 that divides 18734 without a remainder.

1, 2, 17, 19, 29, 34, 38, 58, 323, 493, 551, 646, 986, 1102, 9367

Step-4: Factors of 18742

List of positive integer factors of 18742 that divides 18734 without a remainder.

1, 2, 9371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18734 and 18742. The biggest common factor number is the GCF number.
So the greatest common factor 18734 and 18742 is 2.

Also check out the Least Common Multiple of 18734 and 18742