Greatest Common Factor of 2750 and 2755

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 2750, 2755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2750 and 2755 is 5.

GCF(2750,2755) = 5

GCF of 2750 and 2755

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

GCF of:
and

Greatest Common Factor of 2750 and 2755

GCF of 2750 and 2755 is 5

Prime Factorization of 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2,5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

Prime Factorization of 2755


5 2755
19 551
29 29
1

Prime factors of 2755 are 5,19,29. Prime factorization of 2755 in exponential form is:

2755 = 51×191×291

∴ So by taking common prime factors GCF of 2750 and 2755 is 5

Greatest Common Factor of 2750 and 2755 by matching factors method

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750

Factors of 2755

List of positive integer factors of 2755 that divides 2755 without a remainder.

1,5,19,29,95,145,551,2755

Greatest Common Factor

We found the factors and prime factorization of 2750 and 2755. The biggest common factor number is the GCF number.
So the greatest common factor 2750 and 2755 is 5.

Also check out the Least Common Multiple of 2750 and 2755

Properties of GCF 2750 and 2755

(i) The GCF of 2750 and 2755 is associative

GCF of 2750 and 2755 = GCF of 2755 and 2750

Related Greatest Common Factor of 2750

Related Greatest Common Factor of 2755

Frequently Asked Questions on GCF of 2750 and 2755

1. What is the GCF of 2750 and 2755?

Answer: GCF of 2750 and 2755 is 5.

2. What are the Factors of 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

3. What are the Factors of 2755?

Answer: Factors of 2755 are 1, 5, 19, 29, 95, 145, 551, 2755. There are 8 integers that are factors of 2755. The greatest factor of 2755 is 2755.

4. How to Find the GCF of 2750 and 2755?

Answer:

Greatest Common Factor of 2750 and 2755 = 5

Step 1: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 2755

2755 = 5 x 19 x 29

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 2750 and 2755 is 5