Greatest Common Factor of 769 and 775

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 769, 775 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 769 and 775 is 1.

GCF(769,775) = 1

GCF of 769 and 775

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

GCF of:
and

Greatest Common Factor of 769 and 775

GCF of 769 and 775 is 1

Prime Factorization of 769


769 769
1

Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:

769 = 7691

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5.Prime factorization of 775 in exponential form is:

775 = 52×311

∴ So by taking common prime factors GCF of 769 and 775 is 1

Greatest Common Factor of 769 and 775 by matching factors method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors and prime factorization of 769 and 775. The biggest common factor number is the GCF number.
So the greatest common factor 769 and 775 is 1.

Also check out the Least Common Multiple of 769 and 775

Properties of GCF 769 and 775

(i) The GCF of 769 and 775 is associative

GCF of 769 and 775 = GCF of 775 and 769

Related Greatest Common Factor of 769

Related Greatest Common Factor of 775

Frequently Asked Questions on GCF of 769 and 775

1. What is the GCF of 769 and 775?

Answer: GCF of 769 and 775 is 1.

2. What are the Factors of 769?

Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.

3. What are the Factors of 775?

Answer: Factors of 775 are 1, 5, 25, 31, 155, 775. There are 6 integers that are factors of 775. The greatest factor of 775 is 775.

4. How to Find the GCF of 769 and 775?

Answer:

Greatest Common Factor of 769 and 775 = 1

Step 1: Find the prime factorization of 769

769 = 769

Step 2: Find the prime factorization of 775

775 = 5 x 5 x 31

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 769 and 775 is 1