What is the Greatest Common Factor of 18498 and 18507?

Greatest common factor (GCF) of 18498 and 18507 is 3.

GCF(18498,18507) = 3

We will now calculate the prime factors of 18498 and 18507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18498 and 18507.

How to find the GCF of 18498 and 18507?

We will first find the prime factorization of 18498 and 18507. After we will calculate the factors of 18498 and 18507 and find the biggest common factor number .

Step-1: Prime Factorization of 18498

Prime factors of 18498 are 2, 3, 3083. Prime factorization of 18498 in exponential form is:

18498 = 2¹ × 3¹ × 3083¹

Step-2: Prime Factorization of 18507

Prime factors of 18507 are 3, 31, 199. Prime factorization of 18507 in exponential form is:

18507 = 3¹ × 31¹ × 199¹

Step-3: Factors of 18498

List of positive integer factors of 18498 that divides 18498 without a remainder.

1, 2, 3, 6, 3083, 6166, 9249

Step-4: Factors of 18507

List of positive integer factors of 18507 that divides 18498 without a remainder.

1, 3, 31, 93, 199, 597, 6169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18498 and 18507. The biggest common factor number is the GCF number.
So the greatest common factor 18498 and 18507 is 3.

Also check out the Least Common Multiple of 18498 and 18507