Greatest Common Factor of 9984 and 9987

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, 9987 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9984 and 9987 is 3.

GCF(9984,9987) = 3

GCF of 9984 and 9987

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

GCF of:
and

Greatest Common Factor of 9984 and 9987

GCF of 9984 and 9987 is 3

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 9987


3 9987
3329 3329
1

Prime factors of 9987 are 3,3329. Prime factorization of 9987 in exponential form is:

9987 = 31×33291

∴ So by taking common prime factors GCF of 9984 and 9987 is 3

Greatest Common Factor of 9984 and 9987 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 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Greatest Common Factor

We found the factors and prime factorization of 9984 and 9987. The biggest common factor number is the GCF number.
So the greatest common factor 9984 and 9987 is 3.

Also check out the Least Common Multiple of 9984 and 9987

Properties of GCF 9984 and 9987

(i) The GCF of 9984 and 9987 is associative

GCF of 9984 and 9987 = GCF of 9987 and 9984

Related Greatest Common Factor of 9984

Related Greatest Common Factor of 9987

Frequently Asked Questions on GCF of 9984 and 9987

1. What is the GCF of 9984 and 9987?

Answer: GCF of 9984 and 9987 is 3.

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 9987?

Answer: Factors of 9987 are 1, 3, 3329, 9987. There are 4 integers that are factors of 9987. The greatest factor of 9987 is 9987.

4. How to Find the GCF of 9984 and 9987?

Answer:

Greatest Common Factor of 9984 and 9987 = 3

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 9987

9987 = 3 x 3329

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9984 and 9987 is 3