Greatest Common Factor of 765 and 767

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

Greatest common factor (GCF) of 765 and 767 is 1.

GCF(765,767) = 1

GCF of 765 and 767

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

GCF of:
and

Greatest Common Factor of 765 and 767

GCF of 765 and 767 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 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

∴ So by taking common prime factors GCF of 765 and 767 is 1

Greatest Common Factor of 765 and 767 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 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors and prime factorization of 765 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 767 is 1.

Also check out the Least Common Multiple of 765 and 767

Properties of GCF 765 and 767

(i) The GCF of 765 and 767 is associative

GCF of 765 and 767 = GCF of 767 and 765

Related Greatest Common Factor of 765

Related Greatest Common Factor of 767

Frequently Asked Questions on GCF of 765 and 767

1. What is the GCF of 765 and 767?

Answer: GCF of 765 and 767 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 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

4. How to Find the GCF of 765 and 767?

Answer:

Greatest Common Factor of 765 and 767 = 1

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 767

767 = 13 x 59

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 767 is 1