Greatest Common Factor of 5764 and 5772

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 5764, 5772 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5764 and 5772 is 4.

GCF(5764,5772) = 4

GCF of 5764 and 5772

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

GCF of:
and

Greatest Common Factor of 5764 and 5772

GCF of 5764 and 5772 is 4

Prime Factorization of 5764


2 5764
2 2882
11 1441
131 131
1

Prime factors of 5764 are 2,11,131. Prime factorization of 5764 in exponential form is:

5764 = 22×111×1311

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

∴ So by taking common prime factors GCF of 5764 and 5772 is 4

Greatest Common Factor of 5764 and 5772 by matching factors method

Factors of 5764

List of positive integer factors of 5764 that divides 5764 without a remainder.

1,2,4,11,22,44,131,262,524,1441,2882,5764

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

Greatest Common Factor

We found the factors and prime factorization of 5764 and 5772. The biggest common factor number is the GCF number.
So the greatest common factor 5764 and 5772 is 4.

Also check out the Least Common Multiple of 5764 and 5772

Properties of GCF 5764 and 5772

(i) The GCF of 5764 and 5772 is associative

GCF of 5764 and 5772 = GCF of 5772 and 5764

Related Greatest Common Factor of 5764

Related Greatest Common Factor of 5772

Frequently Asked Questions on GCF of 5764 and 5772

1. What is the GCF of 5764 and 5772?

Answer: GCF of 5764 and 5772 is 4.

2. What are the Factors of 5764?

Answer: Factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764. There are 12 integers that are factors of 5764. The greatest factor of 5764 is 5764.

3. 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.

4. How to Find the GCF of 5764 and 5772?

Answer:

Greatest Common Factor of 5764 and 5772 = 4

Step 1: Find the prime factorization of 5764

5764 = 2 x 2 x 11 x 131

Step 2: Find the prime factorization of 5772

5772 = 2 x 2 x 3 x 13 x 37

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 5764 and 5772 is 4