Greatest Common Factor of 5978 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 5978, 5984 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5978 and 5984 is 2.

GCF(5978,5984) = 2

GCF of 5978 and 5984

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

GCF of:
and

Greatest Common Factor of 5978 and 5984

GCF of 5978 and 5984 is 2

Prime Factorization of 5978


2 5978
7 2989
7 427
61 61
1

Prime factors of 5978 are 2,7,61. Prime factorization of 5978 in exponential form is:

5978 = 21×72×611

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 5978 and 5984 is 2

Greatest Common Factor of 5978 and 5984 by matching factors method

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1,2,7,14,49,61,98,122,427,854,2989,5978

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 5978 and 5984. The biggest common factor number is the GCF number.
So the greatest common factor 5978 and 5984 is 2.

Also check out the Least Common Multiple of 5978 and 5984

Properties of GCF 5978 and 5984

(i) The GCF of 5978 and 5984 is associative

GCF of 5978 and 5984 = GCF of 5984 and 5978

Related Greatest Common Factor of 5978

Related Greatest Common Factor of 5984

Frequently Asked Questions on GCF of 5978 and 5984

1. What is the GCF of 5978 and 5984?

Answer: GCF of 5978 and 5984 is 2.

2. What are the Factors of 5978?

Answer: Factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978. There are 12 integers that are factors of 5978. The greatest factor of 5978 is 5978.

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 5978 and 5984?

Answer:

Greatest Common Factor of 5978 and 5984 = 2

Step 1: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

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 = 2

Step 4: Therefore, the greatest common factor of 5978 and 5984 is 2