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 6905, 6908 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6905 and 6908 is 1.
GCF(6905,6908) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6905
5 | 6905 |
1381 | 1381 |
1 |
Prime factors of 6905 are 5,1381. Prime factorization of 6905 in exponential form is:
6905 = 51×13811
Prime Factorization of 6908
2 | 6908 |
2 | 3454 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 6908 are 2,11,157. Prime factorization of 6908 in exponential form is:
6908 = 22×111×1571
∴ So by taking common prime factors GCF of 6905 and 6908 is 1
Factors of 6905
List of positive integer factors of 6905 that divides 6905 without a remainder.
1,5,1381,6905
Factors of 6908
List of positive integer factors of 6908 that divides 6908 without a remainder.
1,2,4,11,22,44,157,314,628,1727,3454,6908
Greatest Common Factor
We found the factors and prime factorization of 6905 and 6908. The biggest common factor number is the GCF number.
So the greatest common factor 6905 and 6908 is 1.
Also check out the Least Common Multiple of 6905 and 6908
(i) The GCF of 6905 and 6908 is associative
GCF of 6905 and 6908 = GCF of 6908 and 6905
1. What is the GCF of 6905 and 6908?
Answer: GCF of 6905 and 6908 is 1.
2. What are the Factors of 6905?
Answer: Factors of 6905 are 1, 5, 1381, 6905. There are 4 integers that are factors of 6905. The greatest factor of 6905 is 6905.
3. What are the Factors of 6908?
Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.
4. How to Find the GCF of 6905 and 6908?
Answer:
Greatest Common Factor of 6905 and 6908 = 1
Step 1: Find the prime factorization of 6905
6905 = 5 x 1381
Step 2: Find the prime factorization of 6908
6908 = 2 x 2 x 11 x 157
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 6905 and 6908 is 1