# Greatest Common Factor of 720 and 723

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 720, 723 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 720 and 723 is 3.

GCF(720,723) = 3

## GCF of 720 and 723

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

GCF of:
and

### Greatest Common Factor of 720 and 723 by Prime factorization method

Prime Factorization of 720

 2 720 2 360 2 180 2 90 3 45 3 15 5 5 1

Prime factors of 720 are 2,3,5. Prime factorization of 720 in exponential form is:

720 = 24×32×51

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

∴ So by taking common prime factors GCF of 720 and 723 is 3

### Greatest Common Factor of 720 and 723 by matching factors method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 723

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

1,3,241,723

Greatest Common Factor

We found the factors and prime factorization of 720 and 723. The biggest common factor number is the GCF number.
So the greatest common factor 720 and 723 is 3.

Also check out the Least Common Multiple of 720 and 723

### Properties of GCF 720 and 723

(i) The GCF of 720 and 723 is associative

GCF of 720 and 723 = GCF of 723 and 720

### Frequently Asked Questions on GCF of 720 and 723

1. What is the GCF of 720 and 723?

Answer: GCF of 720 and 723 is 3.

2. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

3. 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.

4. How to Find the GCF of 720 and 723?

Greatest Common Factor of 720 and 723 = 3

Step 1: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 723

723 = 3 x 241

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 720 and 723 is 3