# Greatest Common Factor of 725 and 733

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 725, 733 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 725 and 733 is 1.

GCF(725,733) = 1

## GCF of 725 and 733

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

GCF of:
and

### Greatest Common Factor of 725 and 733 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 733

 733 733 1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

∴ So by taking common prime factors GCF of 725 and 733 is 1

### Greatest Common Factor of 725 and 733 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 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors and prime factorization of 725 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 733 is 1.

Also check out the Least Common Multiple of 725 and 733

### Properties of GCF 725 and 733

(i) The GCF of 725 and 733 is associative

GCF of 725 and 733 = GCF of 733 and 725

### Frequently Asked Questions on GCF of 725 and 733

1. What is the GCF of 725 and 733?

Answer: GCF of 725 and 733 is 1.

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 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

4. How to Find the GCF of 725 and 733?

Greatest Common Factor of 725 and 733 = 1

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 733

733 = 733

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 725 and 733 is 1