Greatest Common Factor of 9884 and 9888

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 9884, 9888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9884 and 9888 is 4.

GCF(9884,9888) = 4

GCF of 9884 and 9888

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

GCF of:
and

Greatest Common Factor of 9884 and 9888

GCF of 9884 and 9888 is 4

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

Prime Factorization of 9888


2 9888
2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 9888 are 2,3,103. Prime factorization of 9888 in exponential form is:

9888 = 25×31×1031

∴ So by taking common prime factors GCF of 9884 and 9888 is 4

Greatest Common Factor of 9884 and 9888 by matching factors method

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

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Greatest Common Factor

We found the factors and prime factorization of 9884 and 9888. The biggest common factor number is the GCF number.
So the greatest common factor 9884 and 9888 is 4.

Also check out the Least Common Multiple of 9884 and 9888

Properties of GCF 9884 and 9888

(i) The GCF of 9884 and 9888 is associative

GCF of 9884 and 9888 = GCF of 9888 and 9884

Related Greatest Common Factor of 9884

Related Greatest Common Factor of 9888

Frequently Asked Questions on GCF of 9884 and 9888

1. What is the GCF of 9884 and 9888?

Answer: GCF of 9884 and 9888 is 4.

2. 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.

3. What are the Factors of 9888?

Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.

4. How to Find the GCF of 9884 and 9888?

Answer:

Greatest Common Factor of 9884 and 9888 = 4

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

Step 2: Find the prime factorization of 9888

9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9884 and 9888 is 4