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 2824, 2830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2824 and 2830 is 2.
GCF(2824,2830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2824
2 | 2824 |
2 | 1412 |
2 | 706 |
353 | 353 |
1 |
Prime factors of 2824 are 2,353. Prime factorization of 2824 in exponential form is:
2824 = 23×3531
Prime Factorization of 2830
2 | 2830 |
5 | 1415 |
283 | 283 |
1 |
Prime factors of 2830 are 2,5,283. Prime factorization of 2830 in exponential form is:
2830 = 21×51×2831
∴ So by taking common prime factors GCF of 2824 and 2830 is 2
Factors of 2824
List of positive integer factors of 2824 that divides 2824 without a remainder.
1,2,4,8,353,706,1412,2824
Factors of 2830
List of positive integer factors of 2830 that divides 2830 without a remainder.
1,2,5,10,283,566,1415,2830
Greatest Common Factor
We found the factors and prime factorization of 2824 and 2830. The biggest common factor number is the GCF number.
So the greatest common factor 2824 and 2830 is 2.
Also check out the Least Common Multiple of 2824 and 2830
(i) The GCF of 2824 and 2830 is associative
GCF of 2824 and 2830 = GCF of 2830 and 2824
1. What is the GCF of 2824 and 2830?
Answer: GCF of 2824 and 2830 is 2.
2. What are the Factors of 2824?
Answer: Factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824. There are 8 integers that are factors of 2824. The greatest factor of 2824 is 2824.
3. What are the Factors of 2830?
Answer: Factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830. There are 8 integers that are factors of 2830. The greatest factor of 2830 is 2830.
4. How to Find the GCF of 2824 and 2830?
Answer:
Greatest Common Factor of 2824 and 2830 = 2
Step 1: Find the prime factorization of 2824
2824 = 2 x 2 x 2 x 353
Step 2: Find the prime factorization of 2830
2830 = 2 x 5 x 283
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 2824 and 2830 is 2