# Greatest Common Factor of 721 and 725

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 721, 725 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 721 and 725 is 1.

GCF(721,725) = 1

## GCF of 721 and 725

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

GCF of:
and

### Greatest Common Factor of 721 and 725 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 725

 5 725 5 145 29 29 1

Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:

725 = 52×291

∴ So by taking common prime factors GCF of 721 and 725 is 1

### Greatest Common Factor of 721 and 725 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 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors and prime factorization of 721 and 725. The biggest common factor number is the GCF number.
So the greatest common factor 721 and 725 is 1.

Also check out the Least Common Multiple of 721 and 725

### Properties of GCF 721 and 725

(i) The GCF of 721 and 725 is associative

GCF of 721 and 725 = GCF of 725 and 721

### Frequently Asked Questions on GCF of 721 and 725

1. What is the GCF of 721 and 725?

Answer: GCF of 721 and 725 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 725?

Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.

4. How to Find the GCF of 721 and 725?

Greatest Common Factor of 721 and 725 = 1

Step 1: Find the prime factorization of 721

721 = 7 x 103

Step 2: Find the prime factorization of 725

725 = 5 x 5 x 29

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 725 is 1