What is the Greatest Common Factor of 15507 and 15519?

Greatest common factor (GCF) of 15507 and 15519 is 3.

GCF(15507,15519) = 3

We will now calculate the prime factors of 15507 and 15519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15507 and 15519.

How to find the GCF of 15507 and 15519?

We will first find the prime factorization of 15507 and 15519. After we will calculate the factors of 15507 and 15519 and find the biggest common factor number .

Step-1: Prime Factorization of 15507

Prime factors of 15507 are 3, 1723. Prime factorization of 15507 in exponential form is:

15507 = 3² × 1723¹

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 15507

List of positive integer factors of 15507 that divides 15507 without a remainder.

1, 3, 9, 1723, 5169

Step-4: Factors of 15519

List of positive integer factors of 15519 that divides 15507 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15507 and 15519. The biggest common factor number is the GCF number.
So the greatest common factor 15507 and 15519 is 3.

Also check out the Least Common Multiple of 15507 and 15519