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 2823, 2826 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2823 and 2826 is 3.
GCF(2823,2826) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2823
3 | 2823 |
941 | 941 |
1 |
Prime factors of 2823 are 3,941. Prime factorization of 2823 in exponential form is:
2823 = 31×9411
Prime Factorization of 2826
2 | 2826 |
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 2826 are 2,3,157. Prime factorization of 2826 in exponential form is:
2826 = 21×32×1571
∴ So by taking common prime factors GCF of 2823 and 2826 is 3
Factors of 2823
List of positive integer factors of 2823 that divides 2823 without a remainder.
1,3,941,2823
Factors of 2826
List of positive integer factors of 2826 that divides 2826 without a remainder.
1,2,3,6,9,18,157,314,471,942,1413,2826
Greatest Common Factor
We found the factors and prime factorization of 2823 and 2826. The biggest common factor number is the GCF number.
So the greatest common factor 2823 and 2826 is 3.
Also check out the Least Common Multiple of 2823 and 2826
(i) The GCF of 2823 and 2826 is associative
GCF of 2823 and 2826 = GCF of 2826 and 2823
1. What is the GCF of 2823 and 2826?
Answer: GCF of 2823 and 2826 is 3.
2. What are the Factors of 2823?
Answer: Factors of 2823 are 1, 3, 941, 2823. There are 4 integers that are factors of 2823. The greatest factor of 2823 is 2823.
3. What are the Factors of 2826?
Answer: Factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826. There are 12 integers that are factors of 2826. The greatest factor of 2826 is 2826.
4. How to Find the GCF of 2823 and 2826?
Answer:
Greatest Common Factor of 2823 and 2826 = 3
Step 1: Find the prime factorization of 2823
2823 = 3 x 941
Step 2: Find the prime factorization of 2826
2826 = 2 x 3 x 3 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2823 and 2826 is 3