Greatest Common Factor of 2242 and 2250

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 2242, 2250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2242 and 2250 is 2.

GCF(2242,2250) = 2

GCF of 2242 and 2250

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

GCF of:
and

Greatest Common Factor of 2242 and 2250

GCF of 2242 and 2250 is 2

Prime Factorization of 2242


2 2242
19 1121
59 59
1

Prime factors of 2242 are 2,19,59. Prime factorization of 2242 in exponential form is:

2242 = 21×191×591

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

∴ So by taking common prime factors GCF of 2242 and 2250 is 2

Greatest Common Factor of 2242 and 2250 by matching factors method

Factors of 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1,2,19,38,59,118,1121,2242

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

Greatest Common Factor

We found the factors and prime factorization of 2242 and 2250. The biggest common factor number is the GCF number.
So the greatest common factor 2242 and 2250 is 2.

Also check out the Least Common Multiple of 2242 and 2250

Properties of GCF 2242 and 2250

(i) The GCF of 2242 and 2250 is associative

GCF of 2242 and 2250 = GCF of 2250 and 2242

Related Greatest Common Factor of 2242

Related Greatest Common Factor of 2250

Frequently Asked Questions on GCF of 2242 and 2250

1. What is the GCF of 2242 and 2250?

Answer: GCF of 2242 and 2250 is 2.

2. What are the Factors of 2242?

Answer: Factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242. There are 8 integers that are factors of 2242. The greatest factor of 2242 is 2242.

3. 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.

4. How to Find the GCF of 2242 and 2250?

Answer:

Greatest Common Factor of 2242 and 2250 = 2

Step 1: Find the prime factorization of 2242

2242 = 2 x 19 x 59

Step 2: Find the prime factorization of 2250

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2242 and 2250 is 2