What is the Greatest Common Factor of 18798 and 18814?

Greatest common factor (GCF) of 18798 and 18814 is 2.

GCF(18798,18814) = 2

We will now calculate the prime factors of 18798 and 18814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18798 and 18814.

How to find the GCF of 18798 and 18814?

We will first find the prime factorization of 18798 and 18814. After we will calculate the factors of 18798 and 18814 and find the biggest common factor number .

Step-1: Prime Factorization of 18798

Prime factors of 18798 are 2, 3, 13, 241. Prime factorization of 18798 in exponential form is:

18798 = 2¹ × 3¹ × 13¹ × 241¹

Step-2: Prime Factorization of 18814

Prime factors of 18814 are 2, 23, 409. Prime factorization of 18814 in exponential form is:

18814 = 2¹ × 23¹ × 409¹

Step-3: Factors of 18798

List of positive integer factors of 18798 that divides 18798 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 241, 482, 723, 1446, 3133, 6266, 9399

Step-4: Factors of 18814

List of positive integer factors of 18814 that divides 18798 without a remainder.

1, 2, 23, 46, 409, 818, 9407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18798 and 18814. The biggest common factor number is the GCF number.
So the greatest common factor 18798 and 18814 is 2.

Also check out the Least Common Multiple of 18798 and 18814