Greatest Common Factor of 10240 and 10245

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 10240, 10245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10240 and 10245 is 5.

GCF(10240,10245) = 5

GCF of 10240 and 10245

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

GCF of:
and

Greatest Common Factor of 10240 and 10245

GCF of 10240 and 10245 is 5

Prime Factorization of 10240


2 10240
2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 10240 are 2,5. Prime factorization of 10240 in exponential form is:

10240 = 211×51

Prime Factorization of 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3,5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

∴ So by taking common prime factors GCF of 10240 and 10245 is 5

Greatest Common Factor of 10240 and 10245 by matching factors method

Factors of 10240

List of positive integer factors of 10240 that divides 10240 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2048,2560,5120,10240

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1,3,5,15,683,2049,3415,10245

Greatest Common Factor

We found the factors and prime factorization of 10240 and 10245. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10245 is 5.

Also check out the Least Common Multiple of 10240 and 10245

Properties of GCF 10240 and 10245

(i) The GCF of 10240 and 10245 is associative

GCF of 10240 and 10245 = GCF of 10245 and 10240

Related Greatest Common Factor of 10240

Related Greatest Common Factor of 10245

Frequently Asked Questions on GCF of 10240 and 10245

1. What is the GCF of 10240 and 10245?

Answer: GCF of 10240 and 10245 is 5.

2. What are the Factors of 10240?

Answer: Factors of 10240 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 5120, 10240. There are 24 integers that are factors of 10240. The greatest factor of 10240 is 10240.

3. What are the Factors of 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

4. How to Find the GCF of 10240 and 10245?

Answer:

Greatest Common Factor of 10240 and 10245 = 5

Step 1: Find the prime factorization of 10240

10240 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 10245

10245 = 3 x 5 x 683

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 10240 and 10245 is 5