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 2811, 2817 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2811 and 2817 is 3.
GCF(2811,2817) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2811
3 | 2811 |
937 | 937 |
1 |
Prime factors of 2811 are 3,937. Prime factorization of 2811 in exponential form is:
2811 = 31×9371
Prime Factorization of 2817
3 | 2817 |
3 | 939 |
313 | 313 |
1 |
Prime factors of 2817 are 3,313. Prime factorization of 2817 in exponential form is:
2817 = 32×3131
∴ So by taking common prime factors GCF of 2811 and 2817 is 3
Factors of 2811
List of positive integer factors of 2811 that divides 2811 without a remainder.
1,3,937,2811
Factors of 2817
List of positive integer factors of 2817 that divides 2817 without a remainder.
1,3,9,313,939,2817
Greatest Common Factor
We found the factors and prime factorization of 2811 and 2817. The biggest common factor number is the GCF number.
So the greatest common factor 2811 and 2817 is 3.
Also check out the Least Common Multiple of 2811 and 2817
(i) The GCF of 2811 and 2817 is associative
GCF of 2811 and 2817 = GCF of 2817 and 2811
1. What is the GCF of 2811 and 2817?
Answer: GCF of 2811 and 2817 is 3.
2. What are the Factors of 2811?
Answer: Factors of 2811 are 1, 3, 937, 2811. There are 4 integers that are factors of 2811. The greatest factor of 2811 is 2811.
3. What are the Factors of 2817?
Answer: Factors of 2817 are 1, 3, 9, 313, 939, 2817. There are 6 integers that are factors of 2817. The greatest factor of 2817 is 2817.
4. How to Find the GCF of 2811 and 2817?
Answer:
Greatest Common Factor of 2811 and 2817 = 3
Step 1: Find the prime factorization of 2811
2811 = 3 x 937
Step 2: Find the prime factorization of 2817
2817 = 3 x 3 x 313
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2811 and 2817 is 3