Greatest Common Factor of 9983 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 9983, 9984 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9983 and 9984 is 1.

GCF(9983,9984) = 1

GCF of 9983 and 9984

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

GCF of:
and

Greatest Common Factor of 9983 and 9984

GCF of 9983 and 9984 is 1

Prime Factorization of 9983


67 9983
149 149
1

Prime factors of 9983 are 67,149. Prime factorization of 9983 in exponential form is:

9983 = 671×1491

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 9983 and 9984 is 1

Greatest Common Factor of 9983 and 9984 by matching factors method

Factors of 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1,67,149,9983

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 9983 and 9984. The biggest common factor number is the GCF number.
So the greatest common factor 9983 and 9984 is 1.

Also check out the Least Common Multiple of 9983 and 9984

Properties of GCF 9983 and 9984

(i) The GCF of 9983 and 9984 is associative

GCF of 9983 and 9984 = GCF of 9984 and 9983

Related Greatest Common Factor of 9983

Related Greatest Common Factor of 9984

Frequently Asked Questions on GCF of 9983 and 9984

1. What is the GCF of 9983 and 9984?

Answer: GCF of 9983 and 9984 is 1.

2. What are the Factors of 9983?

Answer: Factors of 9983 are 1, 67, 149, 9983. There are 4 integers that are factors of 9983. The greatest factor of 9983 is 9983.

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 9983 and 9984?

Answer:

Greatest Common Factor of 9983 and 9984 = 1

Step 1: Find the prime factorization of 9983

9983 = 67 x 149

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 = = 1

Step 4: Therefore, the greatest common factor of 9983 and 9984 is 1