What is the Greatest Common Factor of 9765 and 9773?

Greatest common factor (GCF) of 9765 and 9773 is 1.

GCF(9765,9773) = 1

We will now calculate the prime factors of 9765 and 9773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9765 and 9773.

How to find the GCF of 9765 and 9773?

We will first find the prime factorization of 9765 and 9773. After we will calculate the factors of 9765 and 9773 and find the biggest common factor number .

Step-1: Prime Factorization of 9765

Prime factors of 9765 are 3, 5, 7, 31. Prime factorization of 9765 in exponential form is:

9765 = 3² × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 9773

Prime factors of 9773 are 29, 337. Prime factorization of 9773 in exponential form is:

9773 = 29¹ × 337¹

Step-3: Factors of 9765

List of positive integer factors of 9765 that divides 9765 without a remainder.

1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255

Step-4: Factors of 9773

List of positive integer factors of 9773 that divides 9765 without a remainder.

1, 29, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9765 and 9773. The biggest common factor number is the GCF number.
So the greatest common factor 9765 and 9773 is 1.

Also check out the Least Common Multiple of 9765 and 9773