Greatest Common Factor of 5984 and 5992

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 5984, 5992 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5984 and 5992 is 8.

GCF(5984,5992) = 8

GCF of 5984 and 5992

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

GCF of:
and

Greatest Common Factor of 5984 and 5992

GCF of 5984 and 5992 is 8

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

Prime Factorization of 5992


2 5992
2 2996
2 1498
7 749
107 107
1

Prime factors of 5992 are 2,7,107. Prime factorization of 5992 in exponential form is:

5992 = 23×71×1071

∴ So by taking common prime factors GCF of 5984 and 5992 is 8

Greatest Common Factor of 5984 and 5992 by matching factors method

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

Factors of 5992

List of positive integer factors of 5992 that divides 5992 without a remainder.

1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992

Greatest Common Factor

We found the factors and prime factorization of 5984 and 5992. The biggest common factor number is the GCF number.
So the greatest common factor 5984 and 5992 is 8.

Also check out the Least Common Multiple of 5984 and 5992

Properties of GCF 5984 and 5992

(i) The GCF of 5984 and 5992 is associative

GCF of 5984 and 5992 = GCF of 5992 and 5984

Related Greatest Common Factor of 5984

Related Greatest Common Factor of 5992

Frequently Asked Questions on GCF of 5984 and 5992

1. What is the GCF of 5984 and 5992?

Answer: GCF of 5984 and 5992 is 8.

2. 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.

3. What are the Factors of 5992?

Answer: Factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992. There are 16 integers that are factors of 5992. The greatest factor of 5992 is 5992.

4. How to Find the GCF of 5984 and 5992?

Answer:

Greatest Common Factor of 5984 and 5992 = 8

Step 1: Find the prime factorization of 5984

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

Step 2: Find the prime factorization of 5992

5992 = 2 x 2 x 2 x 7 x 107

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 5984 and 5992 is 8