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 2809, 2816 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2809 and 2816 is 1.
GCF(2809,2816) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2809
53 | 2809 |
53 | 53 |
1 |
Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:
2809 = 532
Prime Factorization of 2816
2 | 2816 |
2 | 1408 |
2 | 704 |
2 | 352 |
2 | 176 |
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 2816 are 2.Prime factorization of 2816 in exponential form is:
2816 = 28×111
∴ So by taking common prime factors GCF of 2809 and 2816 is 1
Factors of 2809
List of positive integer factors of 2809 that divides 2809 without a remainder.
1,53,2809
Factors of 2816
List of positive integer factors of 2816 that divides 2816 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816
Greatest Common Factor
We found the factors and prime factorization of 2809 and 2816. The biggest common factor number is the GCF number.
So the greatest common factor 2809 and 2816 is 1.
Also check out the Least Common Multiple of 2809 and 2816
(i) The GCF of 2809 and 2816 is associative
GCF of 2809 and 2816 = GCF of 2816 and 2809
1. What is the GCF of 2809 and 2816?
Answer: GCF of 2809 and 2816 is 1.
2. What are the Factors of 2809?
Answer: Factors of 2809 are 1, 53, 2809. There are 3 integers that are factors of 2809. The greatest factor of 2809 is 2809.
3. What are the Factors of 2816?
Answer: Factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816. There are 18 integers that are factors of 2816. The greatest factor of 2816 is 2816.
4. How to Find the GCF of 2809 and 2816?
Answer:
Greatest Common Factor of 2809 and 2816 = 1
Step 1: Find the prime factorization of 2809
2809 = 53 x 53
Step 2: Find the prime factorization of 2816
2816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2809 and 2816 is 1