What is the Greatest Common Factor of 9765 and 9781?

Greatest common factor (GCF) of 9765 and 9781 is 1.

GCF(9765,9781) = 1

We will now calculate the prime factors of 9765 and 9781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9765 and 9781.

How to find the GCF of 9765 and 9781?

We will first find the prime factorization of 9765 and 9781. After we will calculate the factors of 9765 and 9781 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 9781

Prime factors of 9781 are 9781. Prime factorization of 9781 in exponential form is:

9781 = 9781¹

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 9781

List of positive integer factors of 9781 that divides 9765 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9765 and 9781. The biggest common factor number is the GCF number.
So the greatest common factor 9765 and 9781 is 1.

Also check out the Least Common Multiple of 9765 and 9781