# Greatest Common Factor of 721 and 726

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 721, 726 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 721 and 726 is 1.

GCF(721,726) = 1

## GCF of 721 and 726

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

GCF of:
and

### Greatest Common Factor of 721 and 726 by Prime factorization method

Prime Factorization of 721

 7 721 103 103 1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

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 721 and 726 is 1

### Greatest Common Factor of 721 and 726 by matching factors method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

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 721 and 726. The biggest common factor number is the GCF number.
So the greatest common factor 721 and 726 is 1.

Also check out the Least Common Multiple of 721 and 726

### Properties of GCF 721 and 726

(i) The GCF of 721 and 726 is associative

GCF of 721 and 726 = GCF of 726 and 721

### Frequently Asked Questions on GCF of 721 and 726

1. What is the GCF of 721 and 726?

Answer: GCF of 721 and 726 is 1.

2. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

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 721 and 726?

Greatest Common Factor of 721 and 726 = 1

Step 1: Find the prime factorization of 721

721 = 7 x 103

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 = = 1

Step 4: Therefore, the greatest common factor of 721 and 726 is 1