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 2840, 2845 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2840 and 2845 is 5.
GCF(2840,2845) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2840
2 | 2840 |
2 | 1420 |
2 | 710 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 2840 are 2,5,71. Prime factorization of 2840 in exponential form is:
2840 = 23×51×711
Prime Factorization of 2845
5 | 2845 |
569 | 569 |
1 |
Prime factors of 2845 are 5,569. Prime factorization of 2845 in exponential form is:
2845 = 51×5691
∴ So by taking common prime factors GCF of 2840 and 2845 is 5
Factors of 2840
List of positive integer factors of 2840 that divides 2840 without a remainder.
1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Factors of 2845
List of positive integer factors of 2845 that divides 2845 without a remainder.
1,5,569,2845
Greatest Common Factor
We found the factors and prime factorization of 2840 and 2845. The biggest common factor number is the GCF number.
So the greatest common factor 2840 and 2845 is 5.
Also check out the Least Common Multiple of 2840 and 2845
(i) The GCF of 2840 and 2845 is associative
GCF of 2840 and 2845 = GCF of 2845 and 2840
1. What is the GCF of 2840 and 2845?
Answer: GCF of 2840 and 2845 is 5.
2. What are the Factors of 2840?
Answer: Factors of 2840 are 1, 2, 4, 5, 8, 10, 20, 40, 71, 142, 284, 355, 568, 710, 1420, 2840. There are 16 integers that are factors of 2840. The greatest factor of 2840 is 2840.
3. What are the Factors of 2845?
Answer: Factors of 2845 are 1, 5, 569, 2845. There are 4 integers that are factors of 2845. The greatest factor of 2845 is 2845.
4. How to Find the GCF of 2840 and 2845?
Answer:
Greatest Common Factor of 2840 and 2845 = 5
Step 1: Find the prime factorization of 2840
2840 = 2 x 2 x 2 x 5 x 71
Step 2: Find the prime factorization of 2845
2845 = 5 x 569
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2840 and 2845 is 5