Greatest Common Factor of 5784 and 5788

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 5784, 5788 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5784 and 5788 is 4.

GCF(5784,5788) = 4

GCF of 5784 and 5788

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

GCF of:
and

Greatest Common Factor of 5784 and 5788

GCF of 5784 and 5788 is 4

Prime Factorization of 5784


2 5784
2 2892
2 1446
3 723
241 241
1

Prime factors of 5784 are 2,3,241. Prime factorization of 5784 in exponential form is:

5784 = 23×31×2411

Prime Factorization of 5788


2 5788
2 2894
1447 1447
1

Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:

5788 = 22×14471

∴ So by taking common prime factors GCF of 5784 and 5788 is 4

Greatest Common Factor of 5784 and 5788 by matching factors method

Factors of 5784

List of positive integer factors of 5784 that divides 5784 without a remainder.

1,2,3,4,6,8,12,24,241,482,723,964,1446,1928,2892,5784

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors and prime factorization of 5784 and 5788. The biggest common factor number is the GCF number.
So the greatest common factor 5784 and 5788 is 4.

Also check out the Least Common Multiple of 5784 and 5788

Properties of GCF 5784 and 5788

(i) The GCF of 5784 and 5788 is associative

GCF of 5784 and 5788 = GCF of 5788 and 5784

Related Greatest Common Factor of 5784

Related Greatest Common Factor of 5788

Frequently Asked Questions on GCF of 5784 and 5788

1. What is the GCF of 5784 and 5788?

Answer: GCF of 5784 and 5788 is 4.

2. What are the Factors of 5784?

Answer: Factors of 5784 are 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784. There are 16 integers that are factors of 5784. The greatest factor of 5784 is 5784.

3. What are the Factors of 5788?

Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.

4. How to Find the GCF of 5784 and 5788?

Answer:

Greatest Common Factor of 5784 and 5788 = 4

Step 1: Find the prime factorization of 5784

5784 = 2 x 2 x 2 x 3 x 241

Step 2: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5784 and 5788 is 4