What is the Greatest Common Factor of 15509 and 15516?

Greatest common factor (GCF) of 15509 and 15516 is 1.

GCF(15509,15516) = 1

We will now calculate the prime factors of 15509 and 15516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15509 and 15516.

How to find the GCF of 15509 and 15516?

We will first find the prime factorization of 15509 and 15516. After we will calculate the factors of 15509 and 15516 and find the biggest common factor number .

Step-1: Prime Factorization of 15509

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

15509 = 13¹ × 1193¹

Step-2: Prime Factorization of 15516

Prime factors of 15516 are 2, 3, 431. Prime factorization of 15516 in exponential form is:

15516 = 2² × 3² × 431¹

Step-3: Factors of 15509

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

1, 13, 1193

Step-4: Factors of 15516

List of positive integer factors of 15516 that divides 15509 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 431, 862, 1293, 1724, 2586, 3879, 5172, 7758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15509 and 15516. The biggest common factor number is the GCF number.
So the greatest common factor 15509 and 15516 is 1.

Also check out the Least Common Multiple of 15509 and 15516