Greatest Common Factor of 10232 and 10240

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 10232, 10240 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10232 and 10240 is 8.

GCF(10232,10240) = 8

GCF of 10232 and 10240

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

GCF of:
and

Greatest Common Factor of 10232 and 10240

GCF of 10232 and 10240 is 8

Prime Factorization of 10232


2 10232
2 5116
2 2558
1279 1279
1

Prime factors of 10232 are 2,1279. Prime factorization of 10232 in exponential form is:

10232 = 23×12791

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

∴ So by taking common prime factors GCF of 10232 and 10240 is 8

Greatest Common Factor of 10232 and 10240 by matching factors method

Factors of 10232

List of positive integer factors of 10232 that divides 10232 without a remainder.

1,2,4,8,1279,2558,5116,10232

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

Greatest Common Factor

We found the factors and prime factorization of 10232 and 10240. The biggest common factor number is the GCF number.
So the greatest common factor 10232 and 10240 is 8.

Also check out the Least Common Multiple of 10232 and 10240

Properties of GCF 10232 and 10240

(i) The GCF of 10232 and 10240 is associative

GCF of 10232 and 10240 = GCF of 10240 and 10232

Related Greatest Common Factor of 10232

Related Greatest Common Factor of 10240

Frequently Asked Questions on GCF of 10232 and 10240

1. What is the GCF of 10232 and 10240?

Answer: GCF of 10232 and 10240 is 8.

2. What are the Factors of 10232?

Answer: Factors of 10232 are 1, 2, 4, 8, 1279, 2558, 5116, 10232. There are 8 integers that are factors of 10232. The greatest factor of 10232 is 10232.

3. 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.

4. How to Find the GCF of 10232 and 10240?

Answer:

Greatest Common Factor of 10232 and 10240 = 8

Step 1: Find the prime factorization of 10232

10232 = 2 x 2 x 2 x 1279

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 10232 and 10240 is 8