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 4923, 4926 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4923 and 4926 is 3.
GCF(4923,4926) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4923
3 | 4923 |
3 | 1641 |
547 | 547 |
1 |
Prime factors of 4923 are 3,547. Prime factorization of 4923 in exponential form is:
4923 = 32×5471
Prime Factorization of 4926
2 | 4926 |
3 | 2463 |
821 | 821 |
1 |
Prime factors of 4926 are 2,3,821. Prime factorization of 4926 in exponential form is:
4926 = 21×31×8211
∴ So by taking common prime factors GCF of 4923 and 4926 is 3
Factors of 4923
List of positive integer factors of 4923 that divides 4923 without a remainder.
1,3,9,547,1641,4923
Factors of 4926
List of positive integer factors of 4926 that divides 4926 without a remainder.
1,2,3,6,821,1642,2463,4926
Greatest Common Factor
We found the factors and prime factorization of 4923 and 4926. The biggest common factor number is the GCF number.
So the greatest common factor 4923 and 4926 is 3.
Also check out the Least Common Multiple of 4923 and 4926
(i) The GCF of 4923 and 4926 is associative
GCF of 4923 and 4926 = GCF of 4926 and 4923
1. What is the GCF of 4923 and 4926?
Answer: GCF of 4923 and 4926 is 3.
2. What are the Factors of 4923?
Answer: Factors of 4923 are 1, 3, 9, 547, 1641, 4923. There are 6 integers that are factors of 4923. The greatest factor of 4923 is 4923.
3. What are the Factors of 4926?
Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.
4. How to Find the GCF of 4923 and 4926?
Answer:
Greatest Common Factor of 4923 and 4926 = 3
Step 1: Find the prime factorization of 4923
4923 = 3 x 3 x 547
Step 2: Find the prime factorization of 4926
4926 = 2 x 3 x 821
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 4923 and 4926 is 3