Greatest Common Factor of 5968 and 5974

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 5968, 5974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5968 and 5974 is 2.

GCF(5968,5974) = 2

GCF of 5968 and 5974

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

GCF of:
and

Greatest Common Factor of 5968 and 5974

GCF of 5968 and 5974 is 2

Prime Factorization of 5968


2 5968
2 2984
2 1492
2 746
373 373
1

Prime factors of 5968 are 2,373. Prime factorization of 5968 in exponential form is:

5968 = 24×3731

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

∴ So by taking common prime factors GCF of 5968 and 5974 is 2

Greatest Common Factor of 5968 and 5974 by matching factors method

Factors of 5968

List of positive integer factors of 5968 that divides 5968 without a remainder.

1,2,4,8,16,373,746,1492,2984,5968

Factors of 5974

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

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

Greatest Common Factor

We found the factors and prime factorization of 5968 and 5974. The biggest common factor number is the GCF number.
So the greatest common factor 5968 and 5974 is 2.

Also check out the Least Common Multiple of 5968 and 5974

Properties of GCF 5968 and 5974

(i) The GCF of 5968 and 5974 is associative

GCF of 5968 and 5974 = GCF of 5974 and 5968

Related Greatest Common Factor of 5968

Related Greatest Common Factor of 5974

Frequently Asked Questions on GCF of 5968 and 5974

1. What is the GCF of 5968 and 5974?

Answer: GCF of 5968 and 5974 is 2.

2. What are the Factors of 5968?

Answer: Factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968. There are 10 integers that are factors of 5968. The greatest factor of 5968 is 5968.

3. 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.

4. How to Find the GCF of 5968 and 5974?

Answer:

Greatest Common Factor of 5968 and 5974 = 2

Step 1: Find the prime factorization of 5968

5968 = 2 x 2 x 2 x 2 x 373

Step 2: Find the prime factorization of 5974

5974 = 2 x 29 x 103

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 5968 and 5974 is 2