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 2810, 2812 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2810 and 2812 is 2.
GCF(2810,2812) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2810
2 | 2810 |
5 | 1405 |
281 | 281 |
1 |
Prime factors of 2810 are 2,5,281. Prime factorization of 2810 in exponential form is:
2810 = 21×51×2811
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 2810 and 2812 is 2
Factors of 2810
List of positive integer factors of 2810 that divides 2810 without a remainder.
1,2,5,10,281,562,1405,2810
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 2810 and 2812. The biggest common factor number is the GCF number.
So the greatest common factor 2810 and 2812 is 2.
Also check out the Least Common Multiple of 2810 and 2812
(i) The GCF of 2810 and 2812 is associative
GCF of 2810 and 2812 = GCF of 2812 and 2810
1. What is the GCF of 2810 and 2812?
Answer: GCF of 2810 and 2812 is 2.
2. What are the Factors of 2810?
Answer: Factors of 2810 are 1, 2, 5, 10, 281, 562, 1405, 2810. There are 8 integers that are factors of 2810. The greatest factor of 2810 is 2810.
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 2810 and 2812?
Answer:
Greatest Common Factor of 2810 and 2812 = 2
Step 1: Find the prime factorization of 2810
2810 = 2 x 5 x 281
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
Step 4: Therefore, the greatest common factor of 2810 and 2812 is 2