Greatest Common Factor of 10240 and 10246

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, 10246 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10240 and 10246 is 2.

GCF(10240,10246) = 2

GCF of 10240 and 10246

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

GCF of:
and

Greatest Common Factor of 10240 and 10246

GCF of 10240 and 10246 is 2

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 10246


2 10246
47 5123
109 109
1

Prime factors of 10246 are 2,47,109. Prime factorization of 10246 in exponential form is:

10246 = 21×471×1091

∴ So by taking common prime factors GCF of 10240 and 10246 is 2

Greatest Common Factor of 10240 and 10246 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 10246

List of positive integer factors of 10246 that divides 10246 without a remainder.

1,2,47,94,109,218,5123,10246

Greatest Common Factor

We found the factors and prime factorization of 10240 and 10246. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10246 is 2.

Also check out the Least Common Multiple of 10240 and 10246

Properties of GCF 10240 and 10246

(i) The GCF of 10240 and 10246 is associative

GCF of 10240 and 10246 = GCF of 10246 and 10240

Related Greatest Common Factor of 10240

Related Greatest Common Factor of 10246

Frequently Asked Questions on GCF of 10240 and 10246

1. What is the GCF of 10240 and 10246?

Answer: GCF of 10240 and 10246 is 2.

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 10246?

Answer: Factors of 10246 are 1, 2, 47, 94, 109, 218, 5123, 10246. There are 8 integers that are factors of 10246. The greatest factor of 10246 is 10246.

4. How to Find the GCF of 10240 and 10246?

Answer:

Greatest Common Factor of 10240 and 10246 = 2

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 10246

10246 = 2 x 47 x 109

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 10240 and 10246 is 2