What is the Greatest Common Factor of 15509 and 15522?

Greatest common factor (GCF) of 15509 and 15522 is 13.

GCF(15509,15522) = 13

We will now calculate the prime factors of 15509 and 15522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15509 and 15522.

How to find the GCF of 15509 and 15522?

We will first find the prime factorization of 15509 and 15522. After we will calculate the factors of 15509 and 15522 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 15522

Prime factors of 15522 are 2, 3, 13, 199. Prime factorization of 15522 in exponential form is:

15522 = 2¹ × 3¹ × 13¹ × 199¹

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 15522

List of positive integer factors of 15522 that divides 15509 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 199, 398, 597, 1194, 2587, 5174, 7761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15509 and 15522. The biggest common factor number is the GCF number.
So the greatest common factor 15509 and 15522 is 13.

Also check out the Least Common Multiple of 15509 and 15522