Greatest Common Factor of 5772 and 5775

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 5772, 5775 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5772 and 5775 is 3.

GCF(5772,5775) = 3

GCF of 5772 and 5775

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

GCF of:
and

Greatest Common Factor of 5772 and 5775

GCF of 5772 and 5775 is 3

Prime Factorization of 5772


2 5772
2 2886
3 1443
13 481
37 37
1

Prime factors of 5772 are 2,3,13,37. Prime factorization of 5772 in exponential form is:

5772 = 22×31×131×371

Prime Factorization of 5775


3 5775
5 1925
5 385
7 77
11 11
1

Prime factors of 5775 are 3,5,7,11. Prime factorization of 5775 in exponential form is:

5775 = 31×52×71×111

∴ So by taking common prime factors GCF of 5772 and 5775 is 3

Greatest Common Factor of 5772 and 5775 by matching factors method

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Greatest Common Factor

We found the factors and prime factorization of 5772 and 5775. The biggest common factor number is the GCF number.
So the greatest common factor 5772 and 5775 is 3.

Also check out the Least Common Multiple of 5772 and 5775

Properties of GCF 5772 and 5775

(i) The GCF of 5772 and 5775 is associative

GCF of 5772 and 5775 = GCF of 5775 and 5772

Related Greatest Common Factor of 5772

Related Greatest Common Factor of 5775

Frequently Asked Questions on GCF of 5772 and 5775

1. What is the GCF of 5772 and 5775?

Answer: GCF of 5772 and 5775 is 3.

2. What are the Factors of 5772?

Answer: Factors of 5772 are 1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 222, 444, 481, 962, 1443, 1924, 2886, 5772. There are 24 integers that are factors of 5772. The greatest factor of 5772 is 5772.

3. What are the Factors of 5775?

Answer: Factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775. There are 24 integers that are factors of 5775. The greatest factor of 5775 is 5775.

4. How to Find the GCF of 5772 and 5775?

Answer:

Greatest Common Factor of 5772 and 5775 = 3

Step 1: Find the prime factorization of 5772

5772 = 2 x 2 x 3 x 13 x 37

Step 2: Find the prime factorization of 5775

5775 = 3 x 5 x 5 x 7 x 11

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5772 and 5775 is 3