Greatest Common Factor of 9984 and 9988

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 9984, 9988 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9984 and 9988 is 4.

GCF(9984,9988) = 4

GCF of 9984 and 9988

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

GCF of:
and

Greatest Common Factor of 9984 and 9988

GCF of 9984 and 9988 is 4

Prime Factorization of 9984


2 9984
2 4992
2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 9984 are 2,3,13. Prime factorization of 9984 in exponential form is:

9984 = 28×31×131

Prime Factorization of 9988


2 9988
2 4994
11 2497
227 227
1

Prime factors of 9988 are 2,11,227. Prime factorization of 9988 in exponential form is:

9988 = 22×111×2271

∴ So by taking common prime factors GCF of 9984 and 9988 is 4

Greatest Common Factor of 9984 and 9988 by matching factors method

Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Factors of 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors and prime factorization of 9984 and 9988. The biggest common factor number is the GCF number.
So the greatest common factor 9984 and 9988 is 4.

Also check out the Least Common Multiple of 9984 and 9988

Properties of GCF 9984 and 9988

(i) The GCF of 9984 and 9988 is associative

GCF of 9984 and 9988 = GCF of 9988 and 9984

Related Greatest Common Factor of 9984

Related Greatest Common Factor of 9988

Frequently Asked Questions on GCF of 9984 and 9988

1. What is the GCF of 9984 and 9988?

Answer: GCF of 9984 and 9988 is 4.

2. What are the Factors of 9984?

Answer: Factors of 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984. There are 36 integers that are factors of 9984. The greatest factor of 9984 is 9984.

3. What are the Factors of 9988?

Answer: Factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988. There are 12 integers that are factors of 9988. The greatest factor of 9988 is 9988.

4. How to Find the GCF of 9984 and 9988?

Answer:

Greatest Common Factor of 9984 and 9988 = 4

Step 1: Find the prime factorization of 9984

9984 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 9988

9988 = 2 x 2 x 11 x 227

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 9984 and 9988 is 4