What is the Greatest Common Factor of 765 and 773?

Greatest common factor (GCF) of 765 and 773 is 1.

GCF(765,773) = 1

We will now calculate the prime factors of 765 and 773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 765 and 773.

How to find the GCF of 765 and 773?

We will first find the prime factorization of 765 and 773. After we will calculate the factors of 765 and 773 and find the biggest common factor number .

Step-1: Prime Factorization of 765

Prime factors of 765 are 3, 5, 17. Prime factorization of 765 in exponential form is:

765 = 3² × 5¹ × 17¹

Step-2: Prime Factorization of 773

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 773¹

Step-3: Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255

Step-4: Factors of 773

List of positive integer factors of 773 that divides 765 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 765 and 773. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 773 is 1.

Also check out the Least Common Multiple of 765 and 773