Greatest Common Factor of 765 and 771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 765, 771 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 765 and 771 is 3.

GCF(765,771) = 3

GCF of 765 and 771

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 765 and 771

GCF of 765 and 771 is 3

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

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

765 = 32×51×171

Prime Factorization of 771


3 771
257 257
1

Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:

771 = 31×2571

∴ So by taking common prime factors GCF of 765 and 771 is 3

Greatest Common Factor of 765 and 771 by matching factors method

Factors of 765

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

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors and prime factorization of 765 and 771. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 771 is 3.

Also check out the Least Common Multiple of 765 and 771

Properties of GCF 765 and 771

(i) The GCF of 765 and 771 is associative

GCF of 765 and 771 = GCF of 771 and 765

Related Greatest Common Factor of 765

Related Greatest Common Factor of 771

Frequently Asked Questions on GCF of 765 and 771

1. What is the GCF of 765 and 771?

Answer: GCF of 765 and 771 is 3.

2. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

3. What are the Factors of 771?

Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.

4. How to Find the GCF of 765 and 771?

Answer:

Greatest Common Factor of 765 and 771 = 3

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 771

771 = 3 x 257

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 765 and 771 is 3