Greatest Common Factor of 725 and 731

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 725, 731 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 725 and 731 is 1.

GCF(725,731) = 1

GCF of 725 and 731

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

GCF of:
and

Greatest Common Factor of 725 and 731 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 731

 17 731 43 43 1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

∴ So by taking common prime factors GCF of 725 and 731 is 1

Greatest Common Factor of 725 and 731 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 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors and prime factorization of 725 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 731 is 1.

Also check out the Least Common Multiple of 725 and 731

Properties of GCF 725 and 731

(i) The GCF of 725 and 731 is associative

GCF of 725 and 731 = GCF of 731 and 725

Frequently Asked Questions on GCF of 725 and 731

1. What is the GCF of 725 and 731?

Answer: GCF of 725 and 731 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 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the GCF of 725 and 731?

Greatest Common Factor of 725 and 731 = 1

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 731

731 = 17 x 43

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 731 is 1