Greatest Common Factor of 767 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 767, 775 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 767 and 775 is 1.

GCF(767,775) = 1

GCF of 767 and 775

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

GCF of:
and

Greatest Common Factor of 767 and 775

GCF of 767 and 775 is 1

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

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 767 and 775 is 1

Greatest Common Factor of 767 and 775 by matching factors method

Factors of 767

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

1,13,59,767

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 767 and 775. The biggest common factor number is the GCF number.
So the greatest common factor 767 and 775 is 1.

Also check out the Least Common Multiple of 767 and 775

Properties of GCF 767 and 775

(i) The GCF of 767 and 775 is associative

GCF of 767 and 775 = GCF of 775 and 767

Related Greatest Common Factor of 767

Related Greatest Common Factor of 775

Frequently Asked Questions on GCF of 767 and 775

1. What is the GCF of 767 and 775?

Answer: GCF of 767 and 775 is 1.

2. 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.

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 767 and 775?

Answer:

Greatest Common Factor of 767 and 775 = 1

Step 1: Find the prime factorization of 767

767 = 13 x 59

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 767 and 775 is 1