Greatest Common Factor of 9878 and 9884

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 9878, 9884 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9878 and 9884 is 2.

GCF(9878,9884) = 2

GCF of 9878 and 9884

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

GCF of:
and

Greatest Common Factor of 9878 and 9884

GCF of 9878 and 9884 is 2

Prime Factorization of 9878


2 9878
11 4939
449 449
1

Prime factors of 9878 are 2,11,449. Prime factorization of 9878 in exponential form is:

9878 = 21×111×4491

Prime Factorization of 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2,7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

∴ So by taking common prime factors GCF of 9878 and 9884 is 2

Greatest Common Factor of 9878 and 9884 by matching factors method

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Greatest Common Factor

We found the factors and prime factorization of 9878 and 9884. The biggest common factor number is the GCF number.
So the greatest common factor 9878 and 9884 is 2.

Also check out the Least Common Multiple of 9878 and 9884

Properties of GCF 9878 and 9884

(i) The GCF of 9878 and 9884 is associative

GCF of 9878 and 9884 = GCF of 9884 and 9878

Related Greatest Common Factor of 9878

Related Greatest Common Factor of 9884

Frequently Asked Questions on GCF of 9878 and 9884

1. What is the GCF of 9878 and 9884?

Answer: GCF of 9878 and 9884 is 2.

2. What are the Factors of 9878?

Answer: Factors of 9878 are 1, 2, 11, 22, 449, 898, 4939, 9878. There are 8 integers that are factors of 9878. The greatest factor of 9878 is 9878.

3. What are the Factors of 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

4. How to Find the GCF of 9878 and 9884?

Answer:

Greatest Common Factor of 9878 and 9884 = 2

Step 1: Find the prime factorization of 9878

9878 = 2 x 11 x 449

Step 2: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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 9878 and 9884 is 2