Greatest Common Factor of 6725 and 6730

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 6725, 6730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6725 and 6730 is 5.

GCF(6725,6730) = 5

GCF of 6725 and 6730

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

GCF of:
and

Greatest Common Factor of 6725 and 6730

GCF of 6725 and 6730 is 5

Prime Factorization of 6725


5 6725
5 1345
269 269
1

Prime factors of 6725 are 5,269. Prime factorization of 6725 in exponential form is:

6725 = 52×2691

Prime Factorization of 6730


2 6730
5 3365
673 673
1

Prime factors of 6730 are 2,5,673. Prime factorization of 6730 in exponential form is:

6730 = 21×51×6731

∴ So by taking common prime factors GCF of 6725 and 6730 is 5

Greatest Common Factor of 6725 and 6730 by matching factors method

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1,5,25,269,1345,6725

Factors of 6730

List of positive integer factors of 6730 that divides 6730 without a remainder.

1,2,5,10,673,1346,3365,6730

Greatest Common Factor

We found the factors and prime factorization of 6725 and 6730. The biggest common factor number is the GCF number.
So the greatest common factor 6725 and 6730 is 5.

Also check out the Least Common Multiple of 6725 and 6730

Properties of GCF 6725 and 6730

(i) The GCF of 6725 and 6730 is associative

GCF of 6725 and 6730 = GCF of 6730 and 6725

Related Greatest Common Factor of 6725

Related Greatest Common Factor of 6730

Frequently Asked Questions on GCF of 6725 and 6730

1. What is the GCF of 6725 and 6730?

Answer: GCF of 6725 and 6730 is 5.

2. What are the Factors of 6725?

Answer: Factors of 6725 are 1, 5, 25, 269, 1345, 6725. There are 6 integers that are factors of 6725. The greatest factor of 6725 is 6725.

3. What are the Factors of 6730?

Answer: Factors of 6730 are 1, 2, 5, 10, 673, 1346, 3365, 6730. There are 8 integers that are factors of 6730. The greatest factor of 6730 is 6730.

4. How to Find the GCF of 6725 and 6730?

Answer:

Greatest Common Factor of 6725 and 6730 = 5

Step 1: Find the prime factorization of 6725

6725 = 5 x 5 x 269

Step 2: Find the prime factorization of 6730

6730 = 2 x 5 x 673

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 6725 and 6730 is 5