Greatest Common Factor of 723 and 726

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 723, 726 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 723 and 726 is 3.

GCF(723,726) = 3

GCF of 723 and 726

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

GCF of:
and

Greatest Common Factor of 723 and 726

GCF of 723 and 726 is 3

Prime Factorization of 723


3 723
241 241
1

Prime factors of 723 are 3,241. Prime factorization of 723 in exponential form is:

723 = 31×2411

Prime Factorization of 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2,3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

∴ So by taking common prime factors GCF of 723 and 726 is 3

Greatest Common Factor of 723 and 726 by matching factors method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors and prime factorization of 723 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 723 and 726 is 3.

Also check out the Least Common Multiple of 723 and 726

Properties of GCF 723 and 726

(i) The GCF of 723 and 726 is associative

GCF of 723 and 726 = GCF of 726 and 723

Related Greatest Common Factor of 723

Related Greatest Common Factor of 726

Frequently Asked Questions on GCF of 723 and 726

1. What is the GCF of 723 and 726?

Answer: GCF of 723 and 726 is 3.

2. What are the Factors of 723?

Answer: Factors of 723 are 1, 3, 241, 723. There are 4 integers that are factors of 723. The greatest factor of 723 is 723.

3. What are the Factors of 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

4. How to Find the GCF of 723 and 726?

Answer:

Greatest Common Factor of 723 and 726 = 3

Step 1: Find the prime factorization of 723

723 = 3 x 241

Step 2: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

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 723 and 726 is 3