Greatest Common Factor of 753 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 753, 759 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 753 and 759 is 3.

GCF(753,759) = 3

GCF of 753 and 759

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

GCF of:
and

Greatest Common Factor of 753 and 759

GCF of 753 and 759 is 3

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

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 753 and 759 is 3

Greatest Common Factor of 753 and 759 by matching factors method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

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 753 and 759. The biggest common factor number is the GCF number.
So the greatest common factor 753 and 759 is 3.

Also check out the Least Common Multiple of 753 and 759

Properties of GCF 753 and 759

(i) The GCF of 753 and 759 is associative

GCF of 753 and 759 = GCF of 759 and 753

Related Greatest Common Factor of 753

Related Greatest Common Factor of 759

Frequently Asked Questions on GCF of 753 and 759

1. What is the GCF of 753 and 759?

Answer: GCF of 753 and 759 is 3.

2. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

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 753 and 759?

Answer:

Greatest Common Factor of 753 and 759 = 3

Step 1: Find the prime factorization of 753

753 = 3 x 251

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 753 and 759 is 3