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 2808, 2812 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2808 and 2812 is 4.
GCF(2808,2812) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2808
2 | 2808 |
2 | 1404 |
2 | 702 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 2808 are 2,3,13. Prime factorization of 2808 in exponential form is:
2808 = 23×33×131
Prime Factorization of 2812
2 | 2812 |
2 | 1406 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 2812 are 2,19,37. Prime factorization of 2812 in exponential form is:
2812 = 22×191×371
∴ So by taking common prime factors GCF of 2808 and 2812 is 4
Factors of 2808
List of positive integer factors of 2808 that divides 2808 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Factors of 2812
List of positive integer factors of 2812 that divides 2812 without a remainder.
1,2,4,19,37,38,74,76,148,703,1406,2812
Greatest Common Factor
We found the factors and prime factorization of 2808 and 2812. The biggest common factor number is the GCF number.
So the greatest common factor 2808 and 2812 is 4.
Also check out the Least Common Multiple of 2808 and 2812
(i) The GCF of 2808 and 2812 is associative
GCF of 2808 and 2812 = GCF of 2812 and 2808
1. What is the GCF of 2808 and 2812?
Answer: GCF of 2808 and 2812 is 4.
2. What are the Factors of 2808?
Answer: Factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808. There are 32 integers that are factors of 2808. The greatest factor of 2808 is 2808.
3. What are the Factors of 2812?
Answer: Factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812. There are 12 integers that are factors of 2812. The greatest factor of 2812 is 2812.
4. How to Find the GCF of 2808 and 2812?
Answer:
Greatest Common Factor of 2808 and 2812 = 4
Step 1: Find the prime factorization of 2808
2808 = 2 x 2 x 2 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 2812
2812 = 2 x 2 x 19 x 37
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 2808 and 2812 is 4