What is the Greatest Common Factor of 15491 and 15498?

Greatest common factor (GCF) of 15491 and 15498 is 7.

GCF(15491,15498) = 7

We will now calculate the prime factors of 15491 and 15498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15491 and 15498.

How to find the GCF of 15491 and 15498?

We will first find the prime factorization of 15491 and 15498. After we will calculate the factors of 15491 and 15498 and find the biggest common factor number .

Step-1: Prime Factorization of 15491

Prime factors of 15491 are 7, 2213. Prime factorization of 15491 in exponential form is:

15491 = 7¹ × 2213¹

Step-2: 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-3: Factors of 15491

List of positive integer factors of 15491 that divides 15491 without a remainder.

1, 7, 2213

Step-4: Factors of 15498

List of positive integer factors of 15498 that divides 15491 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15491 and 15498. The biggest common factor number is the GCF number.
So the greatest common factor 15491 and 15498 is 7.

Also check out the Least Common Multiple of 15491 and 15498