Greatest Common Factor of 9898 and 9901

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, 9901 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9898 and 9901 is 1.

GCF(9898,9901) = 1

GCF of 9898 and 9901

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

GCF of:
and

Greatest Common Factor of 9898 and 9901

GCF of 9898 and 9901 is 1

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 9901


9901 9901
1

Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:

9901 = 99011

∴ So by taking common prime factors GCF of 9898 and 9901 is 1

Greatest Common Factor of 9898 and 9901 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 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1,9901

Greatest Common Factor

We found the factors and prime factorization of 9898 and 9901. The biggest common factor number is the GCF number.
So the greatest common factor 9898 and 9901 is 1.

Also check out the Least Common Multiple of 9898 and 9901

Properties of GCF 9898 and 9901

(i) The GCF of 9898 and 9901 is associative

GCF of 9898 and 9901 = GCF of 9901 and 9898

Related Greatest Common Factor of 9898

Related Greatest Common Factor of 9901

Frequently Asked Questions on GCF of 9898 and 9901

1. What is the GCF of 9898 and 9901?

Answer: GCF of 9898 and 9901 is 1.

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 9901?

Answer: Factors of 9901 are 1, 9901. There are 2 integers that are factors of 9901. The greatest factor of 9901 is 9901.

4. How to Find the GCF of 9898 and 9901?

Answer:

Greatest Common Factor of 9898 and 9901 = 1

Step 1: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

Step 2: Find the prime factorization of 9901

9901 = 9901

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9898 and 9901 is 1