Greatest Common Factor of 5978 and 5983

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

Greatest common factor (GCF) of 5978 and 5983 is 1.

GCF(5978,5983) = 1

GCF of 5978 and 5983

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

GCF of:
and

Greatest Common Factor of 5978 and 5983

GCF of 5978 and 5983 is 1

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 5983


31 5983
193 193
1

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

5983 = 311×1931

∴ So by taking common prime factors GCF of 5978 and 5983 is 1

Greatest Common Factor of 5978 and 5983 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 5983

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

1,31,193,5983

Greatest Common Factor

We found the factors and prime factorization of 5978 and 5983. The biggest common factor number is the GCF number.
So the greatest common factor 5978 and 5983 is 1.

Also check out the Least Common Multiple of 5978 and 5983

Properties of GCF 5978 and 5983

(i) The GCF of 5978 and 5983 is associative

GCF of 5978 and 5983 = GCF of 5983 and 5978

Related Greatest Common Factor of 5978

Related Greatest Common Factor of 5983

Frequently Asked Questions on GCF of 5978 and 5983

1. What is the GCF of 5978 and 5983?

Answer: GCF of 5978 and 5983 is 1.

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 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.

4. How to Find the GCF of 5978 and 5983?

Answer:

Greatest Common Factor of 5978 and 5983 = 1

Step 1: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

Step 2: Find the prime factorization of 5983

5983 = 31 x 193

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 5978 and 5983 is 1