What is the Greatest Common Factor of 15505 and 15519?

Greatest common factor (GCF) of 15505 and 15519 is 7.

GCF(15505,15519) = 7

We will now calculate the prime factors of 15505 and 15519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15505 and 15519.

How to find the GCF of 15505 and 15519?

We will first find the prime factorization of 15505 and 15519. After we will calculate the factors of 15505 and 15519 and find the biggest common factor number .

Step-1: Prime Factorization of 15505

Prime factors of 15505 are 5, 7, 443. Prime factorization of 15505 in exponential form is:

15505 = 5¹ × 7¹ × 443¹

Step-2: Prime Factorization of 15519

Prime factors of 15519 are 3, 7, 739. Prime factorization of 15519 in exponential form is:

15519 = 3¹ × 7¹ × 739¹

Step-3: Factors of 15505

List of positive integer factors of 15505 that divides 15505 without a remainder.

1, 5, 7, 35, 443, 2215, 3101

Step-4: Factors of 15519

List of positive integer factors of 15519 that divides 15505 without a remainder.

1, 3, 7, 21, 739, 2217, 5173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15505 and 15519. The biggest common factor number is the GCF number.
So the greatest common factor 15505 and 15519 is 7.

Also check out the Least Common Multiple of 15505 and 15519