What is the Greatest Common Factor of 18734 and 18748?

Greatest common factor (GCF) of 18734 and 18748 is 2.

GCF(18734,18748) = 2

We will now calculate the prime factors of 18734 and 18748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18734 and 18748.

How to find the GCF of 18734 and 18748?

We will first find the prime factorization of 18734 and 18748. After we will calculate the factors of 18734 and 18748 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 18748

Prime factors of 18748 are 2, 43, 109. Prime factorization of 18748 in exponential form is:

18748 = 2² × 43¹ × 109¹

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 18748

List of positive integer factors of 18748 that divides 18734 without a remainder.

1, 2, 4, 43, 86, 109, 172, 218, 436, 4687, 9374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18734 and 18748. The biggest common factor number is the GCF number.
So the greatest common factor 18734 and 18748 is 2.

Also check out the Least Common Multiple of 18734 and 18748