What is the Greatest Common Factor of 15759 and 15771?

Greatest common factor (GCF) of 15759 and 15771 is 3.

GCF(15759,15771) = 3

We will now calculate the prime factors of 15759 and 15771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15759 and 15771.

How to find the GCF of 15759 and 15771?

We will first find the prime factorization of 15759 and 15771. After we will calculate the factors of 15759 and 15771 and find the biggest common factor number .

Step-1: Prime Factorization of 15759

Prime factors of 15759 are 3, 17, 103. Prime factorization of 15759 in exponential form is:

15759 = 3² × 17¹ × 103¹

Step-2: Prime Factorization of 15771

Prime factors of 15771 are 3, 7, 751. Prime factorization of 15771 in exponential form is:

15771 = 3¹ × 7¹ × 751¹

Step-3: Factors of 15759

List of positive integer factors of 15759 that divides 15759 without a remainder.

1, 3, 9, 17, 51, 103, 153, 309, 927, 1751, 5253

Step-4: Factors of 15771

List of positive integer factors of 15771 that divides 15759 without a remainder.

1, 3, 7, 21, 751, 2253, 5257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15759 and 15771. The biggest common factor number is the GCF number.
So the greatest common factor 15759 and 15771 is 3.

Also check out the Least Common Multiple of 15759 and 15771