What is the Greatest Common Factor of 9747 and 9766?

Greatest common factor (GCF) of 9747 and 9766 is 19.

GCF(9747,9766) = 19

We will now calculate the prime factors of 9747 and 9766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9747 and 9766.

How to find the GCF of 9747 and 9766?

We will first find the prime factorization of 9747 and 9766. After we will calculate the factors of 9747 and 9766 and find the biggest common factor number .

Step-1: Prime Factorization of 9747

Prime factors of 9747 are 3, 19. Prime factorization of 9747 in exponential form is:

9747 = 3³ × 19²

Step-2: Prime Factorization of 9766

Prime factors of 9766 are 2, 19, 257. Prime factorization of 9766 in exponential form is:

9766 = 2¹ × 19¹ × 257¹

Step-3: Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249

Step-4: Factors of 9766

List of positive integer factors of 9766 that divides 9747 without a remainder.

1, 2, 19, 38, 257, 514, 4883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9747 and 9766. The biggest common factor number is the GCF number.
So the greatest common factor 9747 and 9766 is 19.

Also check out the Least Common Multiple of 9747 and 9766