Greatest Common Factor of 6925 and 6933

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, 6933 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6925 and 6933 is 1.

GCF(6925,6933) = 1

GCF of 6925 and 6933

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

GCF of:
and

Greatest Common Factor of 6925 and 6933

GCF of 6925 and 6933 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 6933


3 6933
2311 2311
1

Prime factors of 6933 are 3,2311. Prime factorization of 6933 in exponential form is:

6933 = 31×23111

∴ So by taking common prime factors GCF of 6925 and 6933 is 1

Greatest Common Factor of 6925 and 6933 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 6933

List of positive integer factors of 6933 that divides 6933 without a remainder.

1,3,2311,6933

Greatest Common Factor

We found the factors and prime factorization of 6925 and 6933. The biggest common factor number is the GCF number.
So the greatest common factor 6925 and 6933 is 1.

Also check out the Least Common Multiple of 6925 and 6933

Properties of GCF 6925 and 6933

(i) The GCF of 6925 and 6933 is associative

GCF of 6925 and 6933 = GCF of 6933 and 6925

Frequently Asked Questions on GCF of 6925 and 6933

1. What is the GCF of 6925 and 6933?

Answer: GCF of 6925 and 6933 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 6933?

Answer: Factors of 6933 are 1, 3, 2311, 6933. There are 4 integers that are factors of 6933. The greatest factor of 6933 is 6933.

4. How to Find the GCF of 6925 and 6933?

Answer:

Greatest Common Factor of 6925 and 6933 = 1

Step 1: Find the prime factorization of 6925

6925 = 5 x 5 x 277

Step 2: Find the prime factorization of 6933

6933 = 3 x 2311

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 6933 is 1