What is the Greatest Common Factor of 18734 and 18739?

Greatest common factor (GCF) of 18734 and 18739 is 1.

GCF(18734,18739) = 1

We will now calculate the prime factors of 18734 and 18739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18734 and 18739.

How to find the GCF of 18734 and 18739?

We will first find the prime factorization of 18734 and 18739. After we will calculate the factors of 18734 and 18739 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 18739

Prime factors of 18739 are 7, 2677. Prime factorization of 18739 in exponential form is:

18739 = 7¹ × 2677¹

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 18739

List of positive integer factors of 18739 that divides 18734 without a remainder.

1, 7, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18734 and 18739. The biggest common factor number is the GCF number.
So the greatest common factor 18734 and 18739 is 1.

Also check out the Least Common Multiple of 18734 and 18739