Greatest Common Factor of 9800 and 9804

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, 9804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9800 and 9804 is 4.

GCF(9800,9804) = 4

GCF of 9800 and 9804

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

GCF of:
and

Greatest Common Factor of 9800 and 9804

GCF of 9800 and 9804 is 4

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 9804


2 9804
2 4902
3 2451
19 817
43 43
1

Prime factors of 9804 are 2,3,19,43. Prime factorization of 9804 in exponential form is:

9804 = 22×31×191×431

∴ So by taking common prime factors GCF of 9800 and 9804 is 4

Greatest Common Factor of 9800 and 9804 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 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors and prime factorization of 9800 and 9804. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9804 is 4.

Also check out the Least Common Multiple of 9800 and 9804

Properties of GCF 9800 and 9804

(i) The GCF of 9800 and 9804 is associative

GCF of 9800 and 9804 = GCF of 9804 and 9800

Related Greatest Common Factor of 9800

Related Greatest Common Factor of 9804

Frequently Asked Questions on GCF of 9800 and 9804

1. What is the GCF of 9800 and 9804?

Answer: GCF of 9800 and 9804 is 4.

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 9804?

Answer: Factors of 9804 are 1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902, 9804. There are 24 integers that are factors of 9804. The greatest factor of 9804 is 9804.

4. How to Find the GCF of 9800 and 9804?

Answer:

Greatest Common Factor of 9800 and 9804 = 4

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 9804

9804 = 2 x 2 x 3 x 19 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9800 and 9804 is 4