Greatest Common Factor of 6921 and 6925

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 6921, 6925 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6921 and 6925 is 1.

GCF(6921,6925) = 1

GCF of 6921 and 6925

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

GCF of:
and

Greatest Common Factor of 6921 and 6925

GCF of 6921 and 6925 is 1

Prime Factorization of 6921


3 6921
3 2307
769 769
1

Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:

6921 = 32×7691

Prime Factorization of 6925


5 6925
5 1385
277 277
1

Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:

6925 = 52×2771

∴ So by taking common prime factors GCF of 6921 and 6925 is 1

Greatest Common Factor of 6921 and 6925 by matching factors method

Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1,3,9,769,2307,6921

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1,5,25,277,1385,6925

Greatest Common Factor

We found the factors and prime factorization of 6921 and 6925. The biggest common factor number is the GCF number.
So the greatest common factor 6921 and 6925 is 1.

Also check out the Least Common Multiple of 6921 and 6925

Properties of GCF 6921 and 6925

(i) The GCF of 6921 and 6925 is associative

GCF of 6921 and 6925 = GCF of 6925 and 6921

Related Greatest Common Factor of 6921

Related Greatest Common Factor of 6925

Frequently Asked Questions on GCF of 6921 and 6925

1. What is the GCF of 6921 and 6925?

Answer: GCF of 6921 and 6925 is 1.

2. What are the Factors of 6921?

Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.

3. What are the Factors of 6925?

Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.

4. How to Find the GCF of 6921 and 6925?

Answer:

Greatest Common Factor of 6921 and 6925 = 1

Step 1: Find the prime factorization of 6921

6921 = 3 x 3 x 769

Step 2: Find the prime factorization of 6925

6925 = 5 x 5 x 277

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 6921 and 6925 is 1