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 2820, 2824 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2820 and 2824 is 4.
GCF(2820,2824) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2820
2 | 2820 |
2 | 1410 |
3 | 705 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 2820 are 2,3,5,47. Prime factorization of 2820 in exponential form is:
2820 = 22×31×51×471
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
∴ So by taking common prime factors GCF of 2820 and 2824 is 4
Factors of 2820
List of positive integer factors of 2820 that divides 2820 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Factors of 2824
List of positive integer factors of 2824 that divides 2824 without a remainder.
1,2,4,8,353,706,1412,2824
Greatest Common Factor
We found the factors and prime factorization of 2820 and 2824. The biggest common factor number is the GCF number.
So the greatest common factor 2820 and 2824 is 4.
Also check out the Least Common Multiple of 2820 and 2824
(i) The GCF of 2820 and 2824 is associative
GCF of 2820 and 2824 = GCF of 2824 and 2820
1. What is the GCF of 2820 and 2824?
Answer: GCF of 2820 and 2824 is 4.
2. What are the Factors of 2820?
Answer: Factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820. There are 24 integers that are factors of 2820. The greatest factor of 2820 is 2820.
3. 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.
4. How to Find the GCF of 2820 and 2824?
Answer:
Greatest Common Factor of 2820 and 2824 = 4
Step 1: Find the prime factorization of 2820
2820 = 2 x 2 x 3 x 5 x 47
Step 2: Find the prime factorization of 2824
2824 = 2 x 2 x 2 x 353
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2820 and 2824 is 4