What is the Greatest Common Factor of 18508 and 18514?

Greatest common factor (GCF) of 18508 and 18514 is 2.

GCF(18508,18514) = 2

We will now calculate the prime factors of 18508 and 18514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18508 and 18514.

How to find the GCF of 18508 and 18514?

We will first find the prime factorization of 18508 and 18514. After we will calculate the factors of 18508 and 18514 and find the biggest common factor number .

Step-1: Prime Factorization of 18508

Prime factors of 18508 are 2, 7, 661. Prime factorization of 18508 in exponential form is:

18508 = 2² × 7¹ × 661¹

Step-2: Prime Factorization of 18514

Prime factors of 18514 are 2, 9257. Prime factorization of 18514 in exponential form is:

18514 = 2¹ × 9257¹

Step-3: Factors of 18508

List of positive integer factors of 18508 that divides 18508 without a remainder.

1, 2, 4, 7, 14, 28, 661, 1322, 2644, 4627, 9254

Step-4: Factors of 18514

List of positive integer factors of 18514 that divides 18508 without a remainder.

1, 2, 9257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18508 and 18514. The biggest common factor number is the GCF number.
So the greatest common factor 18508 and 18514 is 2.

Also check out the Least Common Multiple of 18508 and 18514