Greatest Common Factor of 9976 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 9976, 9984 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9976 and 9984 is 8.

GCF(9976,9984) = 8

GCF of 9976 and 9984

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

GCF of:
and

Greatest Common Factor of 9976 and 9984

GCF of 9976 and 9984 is 8

Prime Factorization of 9976


2 9976
2 4988
2 2494
29 1247
43 43
1

Prime factors of 9976 are 2,29,43. Prime factorization of 9976 in exponential form is:

9976 = 23×291×431

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 9976 and 9984 is 8

Greatest Common Factor of 9976 and 9984 by matching factors method

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976

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 9976 and 9984. The biggest common factor number is the GCF number.
So the greatest common factor 9976 and 9984 is 8.

Also check out the Least Common Multiple of 9976 and 9984

Properties of GCF 9976 and 9984

(i) The GCF of 9976 and 9984 is associative

GCF of 9976 and 9984 = GCF of 9984 and 9976

Related Greatest Common Factor of 9976

Related Greatest Common Factor of 9984

Frequently Asked Questions on GCF of 9976 and 9984

1. What is the GCF of 9976 and 9984?

Answer: GCF of 9976 and 9984 is 8.

2. What are the Factors of 9976?

Answer: Factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976. There are 16 integers that are factors of 9976. The greatest factor of 9976 is 9976.

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 9976 and 9984?

Answer:

Greatest Common Factor of 9976 and 9984 = 8

Step 1: Find the prime factorization of 9976

9976 = 2 x 2 x 2 x 29 x 43

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9976 and 9984 is 8