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 9800, 9805 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9800 and 9805 is 5.
GCF(9800,9805) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9800
2 | 9800 |
2 | 4900 |
2 | 2450 |
5 | 1225 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9800 are 2,5,7. Prime factorization of 9800 in exponential form is:
9800 = 23×52×72
Prime Factorization of 9805
5 | 9805 |
37 | 1961 |
53 | 53 |
1 |
Prime factors of 9805 are 5,37,53. Prime factorization of 9805 in exponential form is:
9805 = 51×371×531
∴ So by taking common prime factors GCF of 9800 and 9805 is 5
Factors of 9800
List of positive integer factors of 9800 that divides 9800 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800
Factors of 9805
List of positive integer factors of 9805 that divides 9805 without a remainder.
1,5,37,53,185,265,1961,9805
Greatest Common Factor
We found the factors and prime factorization of 9800 and 9805. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9805 is 5.
Also check out the Least Common Multiple of 9800 and 9805
(i) The GCF of 9800 and 9805 is associative
GCF of 9800 and 9805 = GCF of 9805 and 9800
1. What is the GCF of 9800 and 9805?
Answer: GCF of 9800 and 9805 is 5.
2. What are the Factors of 9800?
Answer: Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. There are 36 integers that are factors of 9800. The greatest factor of 9800 is 9800.
3. What are the Factors of 9805?
Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.
4. How to Find the GCF of 9800 and 9805?
Answer:
Greatest Common Factor of 9800 and 9805 = 5
Step 1: Find the prime factorization of 9800
9800 = 2 x 2 x 2 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 9805
9805 = 5 x 37 x 53
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 9800 and 9805 is 5