Greatest Common Factor of 9892 and 9898

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 9892, 9898 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9892 and 9898 is 2.

GCF(9892,9898) = 2

GCF of 9892 and 9898

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

GCF of:
and

Greatest Common Factor of 9892 and 9898

GCF of 9892 and 9898 is 2

Prime Factorization of 9892


2 9892
2 4946
2473 2473
1

Prime factors of 9892 are 2,2473. Prime factorization of 9892 in exponential form is:

9892 = 22×24731

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

∴ So by taking common prime factors GCF of 9892 and 9898 is 2

Greatest Common Factor of 9892 and 9898 by matching factors method

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

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

Greatest Common Factor

We found the factors and prime factorization of 9892 and 9898. The biggest common factor number is the GCF number.
So the greatest common factor 9892 and 9898 is 2.

Also check out the Least Common Multiple of 9892 and 9898

Properties of GCF 9892 and 9898

(i) The GCF of 9892 and 9898 is associative

GCF of 9892 and 9898 = GCF of 9898 and 9892

Related Greatest Common Factor of 9892

Related Greatest Common Factor of 9898

Frequently Asked Questions on GCF of 9892 and 9898

1. What is the GCF of 9892 and 9898?

Answer: GCF of 9892 and 9898 is 2.

2. What are the Factors of 9892?

Answer: Factors of 9892 are 1, 2, 4, 2473, 4946, 9892. There are 6 integers that are factors of 9892. The greatest factor of 9892 is 9892.

3. 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.

4. How to Find the GCF of 9892 and 9898?

Answer:

Greatest Common Factor of 9892 and 9898 = 2

Step 1: Find the prime factorization of 9892

9892 = 2 x 2 x 2473

Step 2: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9892 and 9898 is 2