What is the Greatest Common Factor of 15759 and 15777?

Greatest common factor (GCF) of 15759 and 15777 is 9.

GCF(15759,15777) = 9

We will now calculate the prime factors of 15759 and 15777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15759 and 15777.

How to find the GCF of 15759 and 15777?

We will first find the prime factorization of 15759 and 15777. After we will calculate the factors of 15759 and 15777 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 15777

Prime factors of 15777 are 3, 1753. Prime factorization of 15777 in exponential form is:

15777 = 3² × 1753¹

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 15777

List of positive integer factors of 15777 that divides 15759 without a remainder.

1, 3, 9, 1753, 5259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15759 and 15777. The biggest common factor number is the GCF number.
So the greatest common factor 15759 and 15777 is 9.

Also check out the Least Common Multiple of 15759 and 15777