What is the Greatest Common Factor of 18806 and 18814?

Greatest common factor (GCF) of 18806 and 18814 is 2.

GCF(18806,18814) = 2

We will now calculate the prime factors of 18806 and 18814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18806 and 18814.

How to find the GCF of 18806 and 18814?

We will first find the prime factorization of 18806 and 18814. After we will calculate the factors of 18806 and 18814 and find the biggest common factor number .

Step-1: Prime Factorization of 18806

Prime factors of 18806 are 2, 9403. Prime factorization of 18806 in exponential form is:

18806 = 2¹ × 9403¹

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 18806

List of positive integer factors of 18806 that divides 18806 without a remainder.

1, 2, 9403

Step-4: Factors of 18814

List of positive integer factors of 18814 that divides 18806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18806 and 18814. The biggest common factor number is the GCF number.
So the greatest common factor 18806 and 18814 is 2.

Also check out the Least Common Multiple of 18806 and 18814