# Greatest Common Factor of 725 and 730

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 725, 730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 725 and 730 is 5.

GCF(725,730) = 5

## GCF of 725 and 730

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

GCF of:
and

### Greatest Common Factor of 725 and 730 by Prime factorization method

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

Prime Factorization of 730

 2 730 5 365 73 73 1

Prime factors of 730 are 2,5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

∴ So by taking common prime factors GCF of 725 and 730 is 5

### Greatest Common Factor of 725 and 730 by matching factors method

Factors of 725

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

1,5,25,29,145,725

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors and prime factorization of 725 and 730. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 730 is 5.

Also check out the Least Common Multiple of 725 and 730

### Properties of GCF 725 and 730

(i) The GCF of 725 and 730 is associative

GCF of 725 and 730 = GCF of 730 and 725

### Frequently Asked Questions on GCF of 725 and 730

1. What is the GCF of 725 and 730?

Answer: GCF of 725 and 730 is 5.

2. 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.

3. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the GCF of 725 and 730?

Greatest Common Factor of 725 and 730 = 5

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 730

730 = 2 x 5 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 725 and 730 is 5