What is the Greatest Common Factor of 15496 and 15509?

Greatest common factor (GCF) of 15496 and 15509 is 13.

GCF(15496,15509) = 13

We will now calculate the prime factors of 15496 and 15509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15496 and 15509.

How to find the GCF of 15496 and 15509?

We will first find the prime factorization of 15496 and 15509. After we will calculate the factors of 15496 and 15509 and find the biggest common factor number .

Step-1: Prime Factorization of 15496

Prime factors of 15496 are 2, 13, 149. Prime factorization of 15496 in exponential form is:

15496 = 2³ × 13¹ × 149¹

Step-2: Prime Factorization of 15509

Prime factors of 15509 are 13, 1193. Prime factorization of 15509 in exponential form is:

15509 = 13¹ × 1193¹

Step-3: Factors of 15496

List of positive integer factors of 15496 that divides 15496 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 149, 298, 596, 1192, 1937, 3874, 7748

Step-4: Factors of 15509

List of positive integer factors of 15509 that divides 15496 without a remainder.

1, 13, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15496 and 15509. The biggest common factor number is the GCF number.
So the greatest common factor 15496 and 15509 is 13.

Also check out the Least Common Multiple of 15496 and 15509