Greatest Common Factor of 765 and 766

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, 766 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 765 and 766 is 1.

GCF(765,766) = 1

GCF of 765 and 766

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

GCF of:
and

Greatest Common Factor of 765 and 766

GCF of 765 and 766 is 1

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 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

∴ So by taking common prime factors GCF of 765 and 766 is 1

Greatest Common Factor of 765 and 766 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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors and prime factorization of 765 and 766. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 766 is 1.

Also check out the Least Common Multiple of 765 and 766

Properties of GCF 765 and 766

(i) The GCF of 765 and 766 is associative

GCF of 765 and 766 = GCF of 766 and 765

Related Greatest Common Factor of 765

Related Greatest Common Factor of 766

Frequently Asked Questions on GCF of 765 and 766

1. What is the GCF of 765 and 766?

Answer: GCF of 765 and 766 is 1.

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 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

4. How to Find the GCF of 765 and 766?

Answer:

Greatest Common Factor of 765 and 766 = 1

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 766

766 = 2 x 383

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 765 and 766 is 1