Greatest Common Factor of 9800 and 9805

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

GCF of 9800 and 9805

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9800 and 9805

GCF of 9800 and 9805 is 5

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

Greatest Common Factor of 9800 and 9805 by matching factors method

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

Properties of GCF 9800 and 9805

(i) The GCF of 9800 and 9805 is associative

GCF of 9800 and 9805 = GCF of 9805 and 9800

Related Greatest Common Factor of 9800

Related Greatest Common Factor of 9805

Frequently Asked Questions on GCF of 9800 and 9805

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