Greatest Common Factor of 2240 and 2245

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 2240, 2245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2240 and 2245 is 5.

GCF(2240,2245) = 5

GCF of 2240 and 2245

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

GCF of:
and

Greatest Common Factor of 2240 and 2245

GCF of 2240 and 2245 is 5

Prime Factorization of 2240


2 2240
2 1120
2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 2240 are 2,5,7. Prime factorization of 2240 in exponential form is:

2240 = 26×51×71

Prime Factorization of 2245


5 2245
449 449
1

Prime factors of 2245 are 5,449. Prime factorization of 2245 in exponential form is:

2245 = 51×4491

∴ So by taking common prime factors GCF of 2240 and 2245 is 5

Greatest Common Factor of 2240 and 2245 by matching factors method

Factors of 2240

List of positive integer factors of 2240 that divides 2240 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Factors of 2245

List of positive integer factors of 2245 that divides 2245 without a remainder.

1,5,449,2245

Greatest Common Factor

We found the factors and prime factorization of 2240 and 2245. The biggest common factor number is the GCF number.
So the greatest common factor 2240 and 2245 is 5.

Also check out the Least Common Multiple of 2240 and 2245

Properties of GCF 2240 and 2245

(i) The GCF of 2240 and 2245 is associative

GCF of 2240 and 2245 = GCF of 2245 and 2240

Related Greatest Common Factor of 2240

Related Greatest Common Factor of 2245

Frequently Asked Questions on GCF of 2240 and 2245

1. What is the GCF of 2240 and 2245?

Answer: GCF of 2240 and 2245 is 5.

2. What are the Factors of 2240?

Answer: Factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. There are 28 integers that are factors of 2240. The greatest factor of 2240 is 2240.

3. What are the Factors of 2245?

Answer: Factors of 2245 are 1, 5, 449, 2245. There are 4 integers that are factors of 2245. The greatest factor of 2245 is 2245.

4. How to Find the GCF of 2240 and 2245?

Answer:

Greatest Common Factor of 2240 and 2245 = 5

Step 1: Find the prime factorization of 2240

2240 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 2245

2245 = 5 x 449

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 2240 and 2245 is 5