What is the Greatest Common Factor of 15498 and 15511?

Greatest common factor (GCF) of 15498 and 15511 is 1.

GCF(15498,15511) = 1

We will now calculate the prime factors of 15498 and 15511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15498 and 15511.

How to find the GCF of 15498 and 15511?

We will first find the prime factorization of 15498 and 15511. After we will calculate the factors of 15498 and 15511 and find the biggest common factor number .

Step-1: Prime Factorization of 15498

Prime factors of 15498 are 2, 3, 7, 41. Prime factorization of 15498 in exponential form is:

15498 = 2¹ × 3³ × 7¹ × 41¹

Step-2: Prime Factorization of 15511

Prime factors of 15511 are 15511. Prime factorization of 15511 in exponential form is:

15511 = 15511¹

Step-3: Factors of 15498

List of positive integer factors of 15498 that divides 15498 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 41, 42, 54, 63, 82, 123, 126, 189, 246, 287, 369, 378, 574, 738, 861, 1107, 1722, 2214, 2583, 5166, 7749

Step-4: Factors of 15511

List of positive integer factors of 15511 that divides 15498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15498 and 15511. The biggest common factor number is the GCF number.
So the greatest common factor 15498 and 15511 is 1.

Also check out the Least Common Multiple of 15498 and 15511