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 4842, 4844 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4842 and 4844 is 2.
GCF(4842,4844) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4842
2 | 4842 |
3 | 2421 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 4842 are 2,3,269. Prime factorization of 4842 in exponential form is:
4842 = 21×32×2691
Prime Factorization of 4844
2 | 4844 |
2 | 2422 |
7 | 1211 |
173 | 173 |
1 |
Prime factors of 4844 are 2,7,173. Prime factorization of 4844 in exponential form is:
4844 = 22×71×1731
∴ So by taking common prime factors GCF of 4842 and 4844 is 2
Factors of 4842
List of positive integer factors of 4842 that divides 4842 without a remainder.
1,2,3,6,9,18,269,538,807,1614,2421,4842
Factors of 4844
List of positive integer factors of 4844 that divides 4844 without a remainder.
1,2,4,7,14,28,173,346,692,1211,2422,4844
Greatest Common Factor
We found the factors and prime factorization of 4842 and 4844. The biggest common factor number is the GCF number.
So the greatest common factor 4842 and 4844 is 2.
Also check out the Least Common Multiple of 4842 and 4844
(i) The GCF of 4842 and 4844 is associative
GCF of 4842 and 4844 = GCF of 4844 and 4842
1. What is the GCF of 4842 and 4844?
Answer: GCF of 4842 and 4844 is 2.
2. What are the Factors of 4842?
Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.
3. What are the Factors of 4844?
Answer: Factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844. There are 12 integers that are factors of 4844. The greatest factor of 4844 is 4844.
4. How to Find the GCF of 4842 and 4844?
Answer:
Greatest Common Factor of 4842 and 4844 = 2
Step 1: Find the prime factorization of 4842
4842 = 2 x 3 x 3 x 269
Step 2: Find the prime factorization of 4844
4844 = 2 x 2 x 7 x 173
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 4842 and 4844 is 2