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 6923, 6929 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6923 and 6929 is 1.
GCF(6923,6929) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6923
7 | 6923 |
23 | 989 |
43 | 43 |
1 |
Prime factors of 6923 are 7,23,43. Prime factorization of 6923 in exponential form is:
6923 = 71×231×431
Prime Factorization of 6929
13 | 6929 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:
6929 = 132×411
∴ So by taking common prime factors GCF of 6923 and 6929 is 1
Factors of 6923
List of positive integer factors of 6923 that divides 6923 without a remainder.
1,7,23,43,161,301,989,6923
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1,13,41,169,533,6929
Greatest Common Factor
We found the factors and prime factorization of 6923 and 6929. The biggest common factor number is the GCF number.
So the greatest common factor 6923 and 6929 is 1.
Also check out the Least Common Multiple of 6923 and 6929
(i) The GCF of 6923 and 6929 is associative
GCF of 6923 and 6929 = GCF of 6929 and 6923
1. What is the GCF of 6923 and 6929?
Answer: GCF of 6923 and 6929 is 1.
2. What are the Factors of 6923?
Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.
3. What are the Factors of 6929?
Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.
4. How to Find the GCF of 6923 and 6929?
Answer:
Greatest Common Factor of 6923 and 6929 = 1
Step 1: Find the prime factorization of 6923
6923 = 7 x 23 x 43
Step 2: Find the prime factorization of 6929
6929 = 13 x 13 x 41
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 6923 and 6929 is 1