Greatest Common Factor of 767 and 771

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

Greatest common factor (GCF) of 767 and 771 is 1.

GCF(767,771) = 1

GCF of 767 and 771

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

GCF of:
and

Greatest Common Factor of 767 and 771

GCF of 767 and 771 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 771


3 771
257 257
1

Prime factors of 771 are 3,257. Prime factorization of 771 in exponential form is:

771 = 31×2571

∴ So by taking common prime factors GCF of 767 and 771 is 1

Greatest Common Factor of 767 and 771 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 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors and prime factorization of 767 and 771. The biggest common factor number is the GCF number.
So the greatest common factor 767 and 771 is 1.

Also check out the Least Common Multiple of 767 and 771

Properties of GCF 767 and 771

(i) The GCF of 767 and 771 is associative

GCF of 767 and 771 = GCF of 771 and 767

Related Greatest Common Factor of 767

Related Greatest Common Factor of 771

Frequently Asked Questions on GCF of 767 and 771

1. What is the GCF of 767 and 771?

Answer: GCF of 767 and 771 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 771?

Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.

4. How to Find the GCF of 767 and 771?

Answer:

Greatest Common Factor of 767 and 771 = 1

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 771

771 = 3 x 257

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 771 is 1