Greatest Common Factor of 759 and 767

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 759, 767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 759 and 767 is 1.

GCF(759,767) = 1

GCF of 759 and 767

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

GCF of:
and

Greatest Common Factor of 759 and 767

GCF of 759 and 767 is 1

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3,11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

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

∴ So by taking common prime factors GCF of 759 and 767 is 1

Greatest Common Factor of 759 and 767 by matching factors method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 767

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

1,13,59,767

Greatest Common Factor

We found the factors and prime factorization of 759 and 767. The biggest common factor number is the GCF number.
So the greatest common factor 759 and 767 is 1.

Also check out the Least Common Multiple of 759 and 767

Properties of GCF 759 and 767

(i) The GCF of 759 and 767 is associative

GCF of 759 and 767 = GCF of 767 and 759

Related Greatest Common Factor of 759

Related Greatest Common Factor of 767

Frequently Asked Questions on GCF of 759 and 767

1. What is the GCF of 759 and 767?

Answer: GCF of 759 and 767 is 1.

2. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

3. 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.

4. How to Find the GCF of 759 and 767?

Answer:

Greatest Common Factor of 759 and 767 = 1

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 2: Find the prime factorization of 767

767 = 13 x 59

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 759 and 767 is 1