What is the Greatest Common Factor of 18814 and 18824?

Greatest common factor (GCF) of 18814 and 18824 is 2.

GCF(18814,18824) = 2

We will now calculate the prime factors of 18814 and 18824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18814 and 18824.

How to find the GCF of 18814 and 18824?

We will first find the prime factorization of 18814 and 18824. After we will calculate the factors of 18814 and 18824 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18824

Prime factors of 18824 are 2, 13, 181. Prime factorization of 18824 in exponential form is:

18824 = 2³ × 13¹ × 181¹

Step-3: Factors of 18814

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

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

Step-4: Factors of 18824

List of positive integer factors of 18824 that divides 18814 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 181, 362, 724, 1448, 2353, 4706, 9412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18814 and 18824. The biggest common factor number is the GCF number.
So the greatest common factor 18814 and 18824 is 2.

Also check out the Least Common Multiple of 18814 and 18824