Greatest Common Factor of 5983 and 5984

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 5983, 5984 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5983 and 5984 is 1.

GCF(5983,5984) = 1

GCF of 5983 and 5984

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

GCF of:
and

Greatest Common Factor of 5983 and 5984

GCF of 5983 and 5984 is 1

Prime Factorization of 5983


31 5983
193 193
1

Prime factors of 5983 are 31,193. Prime factorization of 5983 in exponential form is:

5983 = 311×1931

Prime Factorization of 5984


2 5984
2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 5984 are 2,11,17. Prime factorization of 5984 in exponential form is:

5984 = 25×111×171

∴ So by taking common prime factors GCF of 5983 and 5984 is 1

Greatest Common Factor of 5983 and 5984 by matching factors method

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Factors of 5984

List of positive integer factors of 5984 that divides 5984 without a remainder.

1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984

Greatest Common Factor

We found the factors and prime factorization of 5983 and 5984. The biggest common factor number is the GCF number.
So the greatest common factor 5983 and 5984 is 1.

Also check out the Least Common Multiple of 5983 and 5984

Properties of GCF 5983 and 5984

(i) The GCF of 5983 and 5984 is associative

GCF of 5983 and 5984 = GCF of 5984 and 5983

Related Greatest Common Factor of 5983

Related Greatest Common Factor of 5984

Frequently Asked Questions on GCF of 5983 and 5984

1. What is the GCF of 5983 and 5984?

Answer: GCF of 5983 and 5984 is 1.

2. What are the Factors of 5983?

Answer: Factors of 5983 are 1, 31, 193, 5983. There are 4 integers that are factors of 5983. The greatest factor of 5983 is 5983.

3. What are the Factors of 5984?

Answer: Factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984. There are 24 integers that are factors of 5984. The greatest factor of 5984 is 5984.

4. How to Find the GCF of 5983 and 5984?

Answer:

Greatest Common Factor of 5983 and 5984 = 1

Step 1: Find the prime factorization of 5983

5983 = 31 x 193

Step 2: Find the prime factorization of 5984

5984 = 2 x 2 x 2 x 2 x 2 x 11 x 17

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 5983 and 5984 is 1