Greatest Common Factor of 725 and 727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 725, 727 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 725 and 727 is 1.

GCF(725,727) = 1

GCF of 725 and 727

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

GCF of:
and

Greatest Common Factor of 725 and 727

GCF of 725 and 727 is 1

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 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 725 and 727 is 1

Greatest Common Factor of 725 and 727 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 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 725 and 727. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 727 is 1.

Also check out the Least Common Multiple of 725 and 727

Properties of GCF 725 and 727

(i) The GCF of 725 and 727 is associative

GCF of 725 and 727 = GCF of 727 and 725

Related Greatest Common Factor of 725

Related Greatest Common Factor of 727

Frequently Asked Questions on GCF of 725 and 727

1. What is the GCF of 725 and 727?

Answer: GCF of 725 and 727 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 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 725 and 727?

Answer:

Greatest Common Factor of 725 and 727 = 1

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

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 725 and 727 is 1