# Greatest Common Factor of 720 and 726

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 720, 726 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 720 and 726 is 6.

GCF(720,726) = 6

## GCF of 720 and 726

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

GCF of:
and

### Greatest Common Factor of 720 and 726 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 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 720 and 726 is 6

### Greatest Common Factor of 720 and 726 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 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 720 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 720 and 726 is 6.

Also check out the Least Common Multiple of 720 and 726

### Properties of GCF 720 and 726

(i) The GCF of 720 and 726 is associative

GCF of 720 and 726 = GCF of 726 and 720

### Frequently Asked Questions on GCF of 720 and 726

1. What is the GCF of 720 and 726?

Answer: GCF of 720 and 726 is 6.

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 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 720 and 726?

Greatest Common Factor of 720 and 726 = 6

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 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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 720 and 726 is 6