What is the Greatest Common Factor of 15498 and 15502?

Greatest common factor (GCF) of 15498 and 15502 is 2.

GCF(15498,15502) = 2

We will now calculate the prime factors of 15498 and 15502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15498 and 15502.

How to find the GCF of 15498 and 15502?

We will first find the prime factorization of 15498 and 15502. After we will calculate the factors of 15498 and 15502 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 15502

Prime factors of 15502 are 2, 23, 337. Prime factorization of 15502 in exponential form is:

15502 = 2¹ × 23¹ × 337¹

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 15502

List of positive integer factors of 15502 that divides 15498 without a remainder.

1, 2, 23, 46, 337, 674, 7751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15498 and 15502. The biggest common factor number is the GCF number.
So the greatest common factor 15498 and 15502 is 2.

Also check out the Least Common Multiple of 15498 and 15502