Greatest Common Factor of 9874 and 9882

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 9874, 9882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9874 and 9882 is 2.

GCF(9874,9882) = 2

GCF of 9874 and 9882

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

GCF of:
and

Greatest Common Factor of 9874 and 9882

GCF of 9874 and 9882 is 2

Prime Factorization of 9874


2 9874
4937 4937
1

Prime factors of 9874 are 2,4937. Prime factorization of 9874 in exponential form is:

9874 = 21×49371

Prime Factorization of 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2,3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

∴ So by taking common prime factors GCF of 9874 and 9882 is 2

Greatest Common Factor of 9874 and 9882 by matching factors method

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882

Greatest Common Factor

We found the factors and prime factorization of 9874 and 9882. The biggest common factor number is the GCF number.
So the greatest common factor 9874 and 9882 is 2.

Also check out the Least Common Multiple of 9874 and 9882

Properties of GCF 9874 and 9882

(i) The GCF of 9874 and 9882 is associative

GCF of 9874 and 9882 = GCF of 9882 and 9874

Related Greatest Common Factor of 9874

Related Greatest Common Factor of 9882

Frequently Asked Questions on GCF of 9874 and 9882

1. What is the GCF of 9874 and 9882?

Answer: GCF of 9874 and 9882 is 2.

2. What are the Factors of 9874?

Answer: Factors of 9874 are 1, 2, 4937, 9874. There are 4 integers that are factors of 9874. The greatest factor of 9874 is 9874.

3. What are the Factors of 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

4. How to Find the GCF of 9874 and 9882?

Answer:

Greatest Common Factor of 9874 and 9882 = 2

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

Step 2: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

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 9874 and 9882 is 2