What is the Greatest Common Factor of 18508 and 18518?

Greatest common factor (GCF) of 18508 and 18518 is 2.

GCF(18508,18518) = 2

We will now calculate the prime factors of 18508 and 18518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18508 and 18518.

How to find the GCF of 18508 and 18518?

We will first find the prime factorization of 18508 and 18518. After we will calculate the factors of 18508 and 18518 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 18518

Prime factors of 18518 are 2, 47, 197. Prime factorization of 18518 in exponential form is:

18518 = 2¹ × 47¹ × 197¹

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 18518

List of positive integer factors of 18518 that divides 18508 without a remainder.

1, 2, 47, 94, 197, 394, 9259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18508 and 18518. The biggest common factor number is the GCF number.
So the greatest common factor 18508 and 18518 is 2.

Also check out the Least Common Multiple of 18508 and 18518