Greatest Common Factor of 9800 and 9808

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, 9808 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9800 and 9808 is 8.

GCF(9800,9808) = 8

GCF of 9800 and 9808

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

GCF of:
and

Greatest Common Factor of 9800 and 9808

GCF of 9800 and 9808 is 8

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 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

∴ So by taking common prime factors GCF of 9800 and 9808 is 8

Greatest Common Factor of 9800 and 9808 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 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1,2,4,8,16,613,1226,2452,4904,9808

Greatest Common Factor

We found the factors and prime factorization of 9800 and 9808. The biggest common factor number is the GCF number.
So the greatest common factor 9800 and 9808 is 8.

Also check out the Least Common Multiple of 9800 and 9808

Properties of GCF 9800 and 9808

(i) The GCF of 9800 and 9808 is associative

GCF of 9800 and 9808 = GCF of 9808 and 9800

Related Greatest Common Factor of 9800

Related Greatest Common Factor of 9808

Frequently Asked Questions on GCF of 9800 and 9808

1. What is the GCF of 9800 and 9808?

Answer: GCF of 9800 and 9808 is 8.

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 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

4. How to Find the GCF of 9800 and 9808?

Answer:

Greatest Common Factor of 9800 and 9808 = 8

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 9808

9808 = 2 x 2 x 2 x 2 x 613

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9800 and 9808 is 8