Greatest Common Factor of 6925 and 6931

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 6925, 6931 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6925 and 6931 is 1.

GCF(6925,6931) = 1

GCF of 6925 and 6931

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

GCF of:
and

Greatest Common Factor of 6925 and 6931

GCF of 6925 and 6931 is 1

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

Prime Factorization of 6931


29 6931
239 239
1

Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:

6931 = 291×2391

∴ So by taking common prime factors GCF of 6925 and 6931 is 1

Greatest Common Factor of 6925 and 6931 by matching factors method

Factors of 6925

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

1,5,25,277,1385,6925

Factors of 6931

List of positive integer factors of 6931 that divides 6931 without a remainder.

1,29,239,6931

Greatest Common Factor

We found the factors and prime factorization of 6925 and 6931. The biggest common factor number is the GCF number.
So the greatest common factor 6925 and 6931 is 1.

Also check out the Least Common Multiple of 6925 and 6931

Properties of GCF 6925 and 6931

(i) The GCF of 6925 and 6931 is associative

GCF of 6925 and 6931 = GCF of 6931 and 6925

Related Greatest Common Factor of 6925

Related Greatest Common Factor of 6931

Frequently Asked Questions on GCF of 6925 and 6931

1. What is the GCF of 6925 and 6931?

Answer: GCF of 6925 and 6931 is 1.

2. 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.

3. What are the Factors of 6931?

Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.

4. How to Find the GCF of 6925 and 6931?

Answer:

Greatest Common Factor of 6925 and 6931 = 1

Step 1: Find the prime factorization of 6925

6925 = 5 x 5 x 277

Step 2: Find the prime factorization of 6931

6931 = 29 x 239

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 6925 and 6931 is 1