Greatest Common Factor of 5750 and 5755

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 5750, 5755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5750 and 5755 is 5.

GCF(5750,5755) = 5

GCF of 5750 and 5755

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

GCF of:
and

Greatest Common Factor of 5750 and 5755

GCF of 5750 and 5755 is 5

Prime Factorization of 5750


2 5750
5 2875
5 575
5 115
23 23
1

Prime factors of 5750 are 2,5,23. Prime factorization of 5750 in exponential form is:

5750 = 21×53×231

Prime Factorization of 5755


5 5755
1151 1151
1

Prime factors of 5755 are 5,1151. Prime factorization of 5755 in exponential form is:

5755 = 51×11511

∴ So by taking common prime factors GCF of 5750 and 5755 is 5

Greatest Common Factor of 5750 and 5755 by matching factors method

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Factors of 5755

List of positive integer factors of 5755 that divides 5755 without a remainder.

1,5,1151,5755

Greatest Common Factor

We found the factors and prime factorization of 5750 and 5755. The biggest common factor number is the GCF number.
So the greatest common factor 5750 and 5755 is 5.

Also check out the Least Common Multiple of 5750 and 5755

Properties of GCF 5750 and 5755

(i) The GCF of 5750 and 5755 is associative

GCF of 5750 and 5755 = GCF of 5755 and 5750

Related Greatest Common Factor of 5750

Related Greatest Common Factor of 5755

Frequently Asked Questions on GCF of 5750 and 5755

1. What is the GCF of 5750 and 5755?

Answer: GCF of 5750 and 5755 is 5.

2. What are the Factors of 5750?

Answer: Factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750. There are 16 integers that are factors of 5750. The greatest factor of 5750 is 5750.

3. What are the Factors of 5755?

Answer: Factors of 5755 are 1, 5, 1151, 5755. There are 4 integers that are factors of 5755. The greatest factor of 5755 is 5755.

4. How to Find the GCF of 5750 and 5755?

Answer:

Greatest Common Factor of 5750 and 5755 = 5

Step 1: Find the prime factorization of 5750

5750 = 2 x 5 x 5 x 5 x 23

Step 2: Find the prime factorization of 5755

5755 = 5 x 1151

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5750 and 5755 is 5