What is the Greatest Common Factor of 15498 and 15513?

Greatest common factor (GCF) of 15498 and 15513 is 3.

GCF(15498,15513) = 3

We will now calculate the prime factors of 15498 and 15513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15498 and 15513.

How to find the GCF of 15498 and 15513?

We will first find the prime factorization of 15498 and 15513. After we will calculate the factors of 15498 and 15513 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 15513

Prime factors of 15513 are 3, 5171. Prime factorization of 15513 in exponential form is:

15513 = 3¹ × 5171¹

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 15513

List of positive integer factors of 15513 that divides 15498 without a remainder.

1, 3, 5171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15498 and 15513. The biggest common factor number is the GCF number.
So the greatest common factor 15498 and 15513 is 3.

Also check out the Least Common Multiple of 15498 and 15513