What is the Greatest Common Factor of 18508 and 18512?

Greatest common factor (GCF) of 18508 and 18512 is 4.

GCF(18508,18512) = 4

We will now calculate the prime factors of 18508 and 18512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18508 and 18512.

How to find the GCF of 18508 and 18512?

We will first find the prime factorization of 18508 and 18512. After we will calculate the factors of 18508 and 18512 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 18512

Prime factors of 18512 are 2, 13, 89. Prime factorization of 18512 in exponential form is:

18512 = 2⁴ × 13¹ × 89¹

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 18512

List of positive integer factors of 18512 that divides 18508 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 89, 104, 178, 208, 356, 712, 1157, 1424, 2314, 4628, 9256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18508 and 18512. The biggest common factor number is the GCF number.
So the greatest common factor 18508 and 18512 is 4.

Also check out the Least Common Multiple of 18508 and 18512