Greatest Common Factor of 5776 and 5780

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 5776, 5780 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5776 and 5780 is 4.

GCF(5776,5780) = 4

GCF of 5776 and 5780

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

GCF of:
and

Greatest Common Factor of 5776 and 5780

GCF of 5776 and 5780 is 4

Prime Factorization of 5776


2 5776
2 2888
2 1444
2 722
19 361
19 19
1

Prime factors of 5776 are 2,19. Prime factorization of 5776 in exponential form is:

5776 = 24×192

Prime Factorization of 5780


2 5780
2 2890
5 1445
17 289
17 17
1

Prime factors of 5780 are 2,5,17. Prime factorization of 5780 in exponential form is:

5780 = 22×51×172

∴ So by taking common prime factors GCF of 5776 and 5780 is 4

Greatest Common Factor of 5776 and 5780 by matching factors method

Factors of 5776

List of positive integer factors of 5776 that divides 5776 without a remainder.

1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Greatest Common Factor

We found the factors and prime factorization of 5776 and 5780. The biggest common factor number is the GCF number.
So the greatest common factor 5776 and 5780 is 4.

Also check out the Least Common Multiple of 5776 and 5780

Properties of GCF 5776 and 5780

(i) The GCF of 5776 and 5780 is associative

GCF of 5776 and 5780 = GCF of 5780 and 5776

Related Greatest Common Factor of 5776

Related Greatest Common Factor of 5780

Frequently Asked Questions on GCF of 5776 and 5780

1. What is the GCF of 5776 and 5780?

Answer: GCF of 5776 and 5780 is 4.

2. What are the Factors of 5776?

Answer: Factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776. There are 15 integers that are factors of 5776. The greatest factor of 5776 is 5776.

3. What are the Factors of 5780?

Answer: Factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780. There are 18 integers that are factors of 5780. The greatest factor of 5780 is 5780.

4. How to Find the GCF of 5776 and 5780?

Answer:

Greatest Common Factor of 5776 and 5780 = 4

Step 1: Find the prime factorization of 5776

5776 = 2 x 2 x 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 5780

5780 = 2 x 2 x 5 x 17 x 17

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 5776 and 5780 is 4