What is the Greatest Common Factor of 15501 and 15519?

Greatest common factor (GCF) of 15501 and 15519 is 3.

GCF(15501,15519) = 3

We will now calculate the prime factors of 15501 and 15519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15501 and 15519.

How to find the GCF of 15501 and 15519?

We will first find the prime factorization of 15501 and 15519. After we will calculate the factors of 15501 and 15519 and find the biggest common factor number .

Step-1: Prime Factorization of 15501

Prime factors of 15501 are 3, 5167. Prime factorization of 15501 in exponential form is:

15501 = 3¹ × 5167¹

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 15501

List of positive integer factors of 15501 that divides 15501 without a remainder.

1, 3, 5167

Step-4: Factors of 15519

List of positive integer factors of 15519 that divides 15501 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15501 and 15519. The biggest common factor number is the GCF number.
So the greatest common factor 15501 and 15519 is 3.

Also check out the Least Common Multiple of 15501 and 15519