Greatest Common Factor of 770 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 770, 775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 770 and 775 is 5.

GCF(770,775) = 5

GCF of 770 and 775

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

GCF of:
and

Greatest Common Factor of 770 and 775

GCF of 770 and 775 is 5

Prime Factorization of 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2,5,7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Prime Factorization of 775


5 775
5 155
31 31
1

Prime factors of 775 are 5,31. Prime factorization of 775 in exponential form is:

775 = 52×311

∴ So by taking common prime factors GCF of 770 and 775 is 5

Greatest Common Factor of 770 and 775 by matching factors method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

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 770 and 775. The biggest common factor number is the GCF number.
So the greatest common factor 770 and 775 is 5.

Also check out the Least Common Multiple of 770 and 775

Properties of GCF 770 and 775

(i) The GCF of 770 and 775 is associative

GCF of 770 and 775 = GCF of 775 and 770

Related Greatest Common Factor of 770

Related Greatest Common Factor of 775

Frequently Asked Questions on GCF of 770 and 775

1. What is the GCF of 770 and 775?

Answer: GCF of 770 and 775 is 5.

2. What are the Factors of 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

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 770 and 775?

Answer:

Greatest Common Factor of 770 and 775 = 5

Step 1: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

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 = 5

Step 4: Therefore, the greatest common factor of 770 and 775 is 5