Greatest Common Factor of 756 and 759

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 756, 759 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 756 and 759 is 3.

GCF(756,759) = 3

GCF of 756 and 759

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

GCF of:
and

Greatest Common Factor of 756 and 759

GCF of 756 and 759 is 3

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2,3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

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

∴ So by taking common prime factors GCF of 756 and 759 is 3

Greatest Common Factor of 756 and 759 by matching factors method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 759

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

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

Greatest Common Factor

We found the factors and prime factorization of 756 and 759. The biggest common factor number is the GCF number.
So the greatest common factor 756 and 759 is 3.

Also check out the Least Common Multiple of 756 and 759

Properties of GCF 756 and 759

(i) The GCF of 756 and 759 is associative

GCF of 756 and 759 = GCF of 759 and 756

Related Greatest Common Factor of 756

Related Greatest Common Factor of 759

Frequently Asked Questions on GCF of 756 and 759

1. What is the GCF of 756 and 759?

Answer: GCF of 756 and 759 is 3.

2. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

3. 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.

4. How to Find the GCF of 756 and 759?

Answer:

Greatest Common Factor of 756 and 759 = 3

Step 1: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 756 and 759 is 3