Greatest Common Factor of 6721 and 6725

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 6721, 6725 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6721 and 6725 is 1.

GCF(6721,6725) = 1

GCF of 6721 and 6725

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

GCF of:
and

Greatest Common Factor of 6721 and 6725

GCF of 6721 and 6725 is 1

Prime Factorization of 6721


11 6721
13 611
47 47
1

Prime factors of 6721 are 11,13,47. Prime factorization of 6721 in exponential form is:

6721 = 111×131×471

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

∴ So by taking common prime factors GCF of 6721 and 6725 is 1

Greatest Common Factor of 6721 and 6725 by matching factors method

Factors of 6721

List of positive integer factors of 6721 that divides 6721 without a remainder.

1,11,13,47,143,517,611,6721

Factors of 6725

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

1,5,25,269,1345,6725

Greatest Common Factor

We found the factors and prime factorization of 6721 and 6725. The biggest common factor number is the GCF number.
So the greatest common factor 6721 and 6725 is 1.

Also check out the Least Common Multiple of 6721 and 6725

Properties of GCF 6721 and 6725

(i) The GCF of 6721 and 6725 is associative

GCF of 6721 and 6725 = GCF of 6725 and 6721

Related Greatest Common Factor of 6721

Related Greatest Common Factor of 6725

Frequently Asked Questions on GCF of 6721 and 6725

1. What is the GCF of 6721 and 6725?

Answer: GCF of 6721 and 6725 is 1.

2. What are the Factors of 6721?

Answer: Factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721. There are 8 integers that are factors of 6721. The greatest factor of 6721 is 6721.

3. 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.

4. How to Find the GCF of 6721 and 6725?

Answer:

Greatest Common Factor of 6721 and 6725 = 1

Step 1: Find the prime factorization of 6721

6721 = 11 x 13 x 47

Step 2: Find the prime factorization of 6725

6725 = 5 x 5 x 269

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 6721 and 6725 is 1