Greatest Common Factor of 760 and 765

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 760, 765 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 760 and 765 is 5.

GCF(760,765) = 5

GCF of 760 and 765

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

GCF of:
and

Greatest Common Factor of 760 and 765

GCF of 760 and 765 is 5

Prime Factorization of 760


2 760
2 380
2 190
5 95
19 19
1

Prime factors of 760 are 2,5,19. Prime factorization of 760 in exponential form is:

760 = 23×51×191

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

∴ So by taking common prime factors GCF of 760 and 765 is 5

Greatest Common Factor of 760 and 765 by matching factors method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

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

Greatest Common Factor

We found the factors and prime factorization of 760 and 765. The biggest common factor number is the GCF number.
So the greatest common factor 760 and 765 is 5.

Also check out the Least Common Multiple of 760 and 765

Properties of GCF 760 and 765

(i) The GCF of 760 and 765 is associative

GCF of 760 and 765 = GCF of 765 and 760

Related Greatest Common Factor of 760

Related Greatest Common Factor of 765

Frequently Asked Questions on GCF of 760 and 765

1. What is the GCF of 760 and 765?

Answer: GCF of 760 and 765 is 5.

2. What are the Factors of 760?

Answer: Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. There are 16 integers that are factors of 760. The greatest factor of 760 is 760.

3. 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.

4. How to Find the GCF of 760 and 765?

Answer:

Greatest Common Factor of 760 and 765 = 5

Step 1: Find the prime factorization of 760

760 = 2 x 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 760 and 765 is 5