Greatest Common Factor of 767 and 769

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

Greatest common factor (GCF) of 767 and 769 is 1.

GCF(767,769) = 1

GCF of 767 and 769

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

GCF of:
and

Greatest Common Factor of 767 and 769

GCF of 767 and 769 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 769


769 769
1

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

769 = 7691

∴ So by taking common prime factors GCF of 767 and 769 is 1

Greatest Common Factor of 767 and 769 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 769

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

1,769

Greatest Common Factor

We found the factors and prime factorization of 767 and 769. The biggest common factor number is the GCF number.
So the greatest common factor 767 and 769 is 1.

Also check out the Least Common Multiple of 767 and 769

Properties of GCF 767 and 769

(i) The GCF of 767 and 769 is associative

GCF of 767 and 769 = GCF of 769 and 767

Related Greatest Common Factor of 767

Related Greatest Common Factor of 769

Frequently Asked Questions on GCF of 767 and 769

1. What is the GCF of 767 and 769?

Answer: GCF of 767 and 769 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 769?

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

4. How to Find the GCF of 767 and 769?

Answer:

Greatest Common Factor of 767 and 769 = 1

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 769

769 = 769

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 769 is 1