Greatest Common Factor of 2250 and 2253

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, 2253 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2250 and 2253 is 3.

GCF(2250,2253) = 3

GCF of 2250 and 2253

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

GCF of:
and

Greatest Common Factor of 2250 and 2253

GCF of 2250 and 2253 is 3

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 2253


3 2253
751 751
1

Prime factors of 2253 are 3,751. Prime factorization of 2253 in exponential form is:

2253 = 31×7511

∴ So by taking common prime factors GCF of 2250 and 2253 is 3

Greatest Common Factor of 2250 and 2253 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 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1,3,751,2253

Greatest Common Factor

We found the factors and prime factorization of 2250 and 2253. The biggest common factor number is the GCF number.
So the greatest common factor 2250 and 2253 is 3.

Also check out the Least Common Multiple of 2250 and 2253

Properties of GCF 2250 and 2253

(i) The GCF of 2250 and 2253 is associative

GCF of 2250 and 2253 = GCF of 2253 and 2250

Related Greatest Common Factor of 2250

Related Greatest Common Factor of 2253

Frequently Asked Questions on GCF of 2250 and 2253

1. What is the GCF of 2250 and 2253?

Answer: GCF of 2250 and 2253 is 3.

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 2253?

Answer: Factors of 2253 are 1, 3, 751, 2253. There are 4 integers that are factors of 2253. The greatest factor of 2253 is 2253.

4. How to Find the GCF of 2250 and 2253?

Answer:

Greatest Common Factor of 2250 and 2253 = 3

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 2253

2253 = 3 x 751

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 2250 and 2253 is 3