Greatest Common Factor of 9898 and 9905

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 9898, 9905 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9898 and 9905 is 7.

GCF(9898,9905) = 7

GCF of 9898 and 9905

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

GCF of:
and

Greatest Common Factor of 9898 and 9905

GCF of 9898 and 9905 is 7

Prime Factorization of 9898


2 9898
7 4949
7 707
101 101
1

Prime factors of 9898 are 2,7,101. Prime factorization of 9898 in exponential form is:

9898 = 21×72×1011

Prime Factorization of 9905


5 9905
7 1981
283 283
1

Prime factors of 9905 are 5,7,283. Prime factorization of 9905 in exponential form is:

9905 = 51×71×2831

∴ So by taking common prime factors GCF of 9898 and 9905 is 7

Greatest Common Factor of 9898 and 9905 by matching factors method

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1,2,7,14,49,98,101,202,707,1414,4949,9898

Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1,5,7,35,283,1415,1981,9905

Greatest Common Factor

We found the factors and prime factorization of 9898 and 9905. The biggest common factor number is the GCF number.
So the greatest common factor 9898 and 9905 is 7.

Also check out the Least Common Multiple of 9898 and 9905

Properties of GCF 9898 and 9905

(i) The GCF of 9898 and 9905 is associative

GCF of 9898 and 9905 = GCF of 9905 and 9898

Related Greatest Common Factor of 9898

Related Greatest Common Factor of 9905

Frequently Asked Questions on GCF of 9898 and 9905

1. What is the GCF of 9898 and 9905?

Answer: GCF of 9898 and 9905 is 7.

2. What are the Factors of 9898?

Answer: Factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898. There are 12 integers that are factors of 9898. The greatest factor of 9898 is 9898.

3. What are the Factors of 9905?

Answer: Factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905. There are 8 integers that are factors of 9905. The greatest factor of 9905 is 9905.

4. How to Find the GCF of 9898 and 9905?

Answer:

Greatest Common Factor of 9898 and 9905 = 7

Step 1: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

Step 2: Find the prime factorization of 9905

9905 = 5 x 7 x 283

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9898 and 9905 is 7