Greatest Common Factor of 2250 and 2255

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 2250, 2255 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2250 and 2255 is 5.

GCF(2250,2255) = 5

GCF of 2250 and 2255

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

GCF of:
and

Greatest Common Factor of 2250 and 2255

GCF of 2250 and 2255 is 5

Prime Factorization of 2250


2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 2250 are 2,3,5. Prime factorization of 2250 in exponential form is:

2250 = 21×32×53

Prime Factorization of 2255


5 2255
11 451
41 41
1

Prime factors of 2255 are 5,11,41. Prime factorization of 2255 in exponential form is:

2255 = 51×111×411

∴ So by taking common prime factors GCF of 2250 and 2255 is 5

Greatest Common Factor of 2250 and 2255 by matching factors method

Factors of 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250

Factors of 2255

List of positive integer factors of 2255 that divides 2255 without a remainder.

1,5,11,41,55,205,451,2255

Greatest Common Factor

We found the factors and prime factorization of 2250 and 2255. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2255 is 5.

Also check out the Least Common Multiple of 2250 and 2255

Properties of GCF 2250 and 2255

(i) The GCF of 2250 and 2255 is associative

GCF of 2250 and 2255 = GCF of 2255 and 2250

Related Greatest Common Factor of 2250

Related Greatest Common Factor of 2255

Frequently Asked Questions on GCF of 2250 and 2255

1. What is the GCF of 2250 and 2255?

Answer: GCF of 2250 and 2255 is 5.

2. What are the Factors of 2250?

Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.

3. What are the Factors of 2255?

Answer: Factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255. There are 8 integers that are factors of 2255. The greatest factor of 2255 is 2255.

4. How to Find the GCF of 2250 and 2255?

Answer:

Greatest Common Factor of 2250 and 2255 = 5

Step 1: Find the prime factorization of 2250

2250 = 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 2255

2255 = 5 x 11 x 41

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 2250 and 2255 is 5