What is the Greatest Common Factor of 9766 and 9785?

Greatest common factor (GCF) of 9766 and 9785 is 19.

GCF(9766,9785) = 19

We will now calculate the prime factors of 9766 and 9785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9766 and 9785.

How to find the GCF of 9766 and 9785?

We will first find the prime factorization of 9766 and 9785. After we will calculate the factors of 9766 and 9785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9785

Prime factors of 9785 are 5, 19, 103. Prime factorization of 9785 in exponential form is:

9785 = 5¹ × 19¹ × 103¹

Step-3: Factors of 9766

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

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

Step-4: Factors of 9785

List of positive integer factors of 9785 that divides 9766 without a remainder.

1, 5, 19, 95, 103, 515, 1957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9766 and 9785. The biggest common factor number is the GCF number.
So the greatest common factor 9766 and 9785 is 19.

Also check out the Least Common Multiple of 9766 and 9785