# Greatest Common Factor of 721 and 727

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 721, 727 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 721 and 727 is 1.

GCF(721,727) = 1

## GCF of 721 and 727

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

GCF of:
and

### Greatest Common Factor of 721 and 727 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 727

 727 727 1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

∴ So by taking common prime factors GCF of 721 and 727 is 1

### Greatest Common Factor of 721 and 727 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 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors and prime factorization of 721 and 727. The biggest common factor number is the GCF number.
So the greatest common factor 721 and 727 is 1.

Also check out the Least Common Multiple of 721 and 727

### Properties of GCF 721 and 727

(i) The GCF of 721 and 727 is associative

GCF of 721 and 727 = GCF of 727 and 721

### Frequently Asked Questions on GCF of 721 and 727

1. What is the GCF of 721 and 727?

Answer: GCF of 721 and 727 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 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

4. How to Find the GCF of 721 and 727?

Greatest Common Factor of 721 and 727 = 1

Step 1: Find the prime factorization of 721

721 = 7 x 103

Step 2: Find the prime factorization of 727

727 = 727

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 727 is 1