Greatest Common Factor of 5974 and 5978

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 5974, 5978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5974 and 5978 is 2.

GCF(5974,5978) = 2

GCF of 5974 and 5978

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

GCF of:
and

Greatest Common Factor of 5974 and 5978

GCF of 5974 and 5978 is 2

Prime Factorization of 5974


2 5974
29 2987
103 103
1

Prime factors of 5974 are 2,29,103. Prime factorization of 5974 in exponential form is:

5974 = 21×291×1031

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

∴ So by taking common prime factors GCF of 5974 and 5978 is 2

Greatest Common Factor of 5974 and 5978 by matching factors method

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

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

Greatest Common Factor

We found the factors and prime factorization of 5974 and 5978. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5978 is 2.

Also check out the Least Common Multiple of 5974 and 5978

Properties of GCF 5974 and 5978

(i) The GCF of 5974 and 5978 is associative

GCF of 5974 and 5978 = GCF of 5978 and 5974

Related Greatest Common Factor of 5974

Related Greatest Common Factor of 5978

Frequently Asked Questions on GCF of 5974 and 5978

1. What is the GCF of 5974 and 5978?

Answer: GCF of 5974 and 5978 is 2.

2. What are the Factors of 5974?

Answer: Factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974. There are 8 integers that are factors of 5974. The greatest factor of 5974 is 5974.

3. 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.

4. How to Find the GCF of 5974 and 5978?

Answer:

Greatest Common Factor of 5974 and 5978 = 2

Step 1: Find the prime factorization of 5974

5974 = 2 x 29 x 103

Step 2: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

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 5974 and 5978 is 2