Greatest Common Factor of 9978 and 9984

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 9978, 9984 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9978 and 9984 is 6.

GCF(9978,9984) = 6

GCF of 9978 and 9984

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

GCF of:
and

Greatest Common Factor of 9978 and 9984

GCF of 9978 and 9984 is 6

Prime Factorization of 9978


2 9978
3 4989
1663 1663
1

Prime factors of 9978 are 2,3,1663. Prime factorization of 9978 in exponential form is:

9978 = 21×31×16631

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

∴ So by taking common prime factors GCF of 9978 and 9984 is 6

Greatest Common Factor of 9978 and 9984 by matching factors method

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1,2,3,6,1663,3326,4989,9978

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

Greatest Common Factor

We found the factors and prime factorization of 9978 and 9984. The biggest common factor number is the GCF number.
So the greatest common factor 9978 and 9984 is 6.

Also check out the Least Common Multiple of 9978 and 9984

Properties of GCF 9978 and 9984

(i) The GCF of 9978 and 9984 is associative

GCF of 9978 and 9984 = GCF of 9984 and 9978

Related Greatest Common Factor of 9978

Related Greatest Common Factor of 9984

Frequently Asked Questions on GCF of 9978 and 9984

1. What is the GCF of 9978 and 9984?

Answer: GCF of 9978 and 9984 is 6.

2. What are the Factors of 9978?

Answer: Factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978. There are 8 integers that are factors of 9978. The greatest factor of 9978 is 9978.

3. 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.

4. How to Find the GCF of 9978 and 9984?

Answer:

Greatest Common Factor of 9978 and 9984 = 6

Step 1: Find the prime factorization of 9978

9978 = 2 x 3 x 1663

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9978 and 9984 is 6