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, 6932 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6925 and 6932 is 1.
GCF(6925,6932) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 6932
2 | 6932 |
2 | 3466 |
1733 | 1733 |
1 |
Prime factors of 6932 are 2,1733. Prime factorization of 6932 in exponential form is:
6932 = 22×17331
∴ So by taking common prime factors GCF of 6925 and 6932 is 1
Factors of 6925
List of positive integer factors of 6925 that divides 6925 without a remainder.
1,5,25,277,1385,6925
Factors of 6932
List of positive integer factors of 6932 that divides 6932 without a remainder.
1,2,4,1733,3466,6932
Greatest Common Factor
We found the factors and prime factorization of 6925 and 6932. The biggest common factor number is the GCF number.
So the greatest common factor 6925 and 6932 is 1.
Also check out the Least Common Multiple of 6925 and 6932
(i) The GCF of 6925 and 6932 is associative
GCF of 6925 and 6932 = GCF of 6932 and 6925
1. What is the GCF of 6925 and 6932?
Answer: GCF of 6925 and 6932 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 6932?
Answer: Factors of 6932 are 1, 2, 4, 1733, 3466, 6932. There are 6 integers that are factors of 6932. The greatest factor of 6932 is 6932.
4. How to Find the GCF of 6925 and 6932?
Answer:
Greatest Common Factor of 6925 and 6932 = 1
Step 1: Find the prime factorization of 6925
6925 = 5 x 5 x 277
Step 2: Find the prime factorization of 6932
6932 = 2 x 2 x 1733
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 6932 is 1