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 6932, 6938 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6932 and 6938 is 2.
GCF(6932,6938) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6938
2 | 6938 |
3469 | 3469 |
1 |
Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:
6938 = 21×34691
∴ So by taking common prime factors GCF of 6932 and 6938 is 2
Factors of 6932
List of positive integer factors of 6932 that divides 6932 without a remainder.
1,2,4,1733,3466,6932
Factors of 6938
List of positive integer factors of 6938 that divides 6938 without a remainder.
1,2,3469,6938
Greatest Common Factor
We found the factors and prime factorization of 6932 and 6938. The biggest common factor number is the GCF number.
So the greatest common factor 6932 and 6938 is 2.
Also check out the Least Common Multiple of 6932 and 6938
(i) The GCF of 6932 and 6938 is associative
GCF of 6932 and 6938 = GCF of 6938 and 6932
1. What is the GCF of 6932 and 6938?
Answer: GCF of 6932 and 6938 is 2.
2. 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.
3. What are the Factors of 6938?
Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.
4. How to Find the GCF of 6932 and 6938?
Answer:
Greatest Common Factor of 6932 and 6938 = 2
Step 1: Find the prime factorization of 6932
6932 = 2 x 2 x 1733
Step 2: Find the prime factorization of 6938
6938 = 2 x 3469
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6932 and 6938 is 2