Greatest Common Factor of 765 and 772

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

Greatest common factor (GCF) of 765 and 772 is 1.

GCF(765,772) = 1

GCF of 765 and 772

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

GCF of:
and

Greatest Common Factor of 765 and 772

GCF of 765 and 772 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 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

∴ So by taking common prime factors GCF of 765 and 772 is 1

Greatest Common Factor of 765 and 772 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 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors and prime factorization of 765 and 772. The biggest common factor number is the GCF number.
So the greatest common factor 765 and 772 is 1.

Also check out the Least Common Multiple of 765 and 772

Properties of GCF 765 and 772

(i) The GCF of 765 and 772 is associative

GCF of 765 and 772 = GCF of 772 and 765

Related Greatest Common Factor of 765

Related Greatest Common Factor of 772

Frequently Asked Questions on GCF of 765 and 772

1. What is the GCF of 765 and 772?

Answer: GCF of 765 and 772 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 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the GCF of 765 and 772?

Answer:

Greatest Common Factor of 765 and 772 = 1

Step 1: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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 772 is 1