Greatest Common Factor of 10240 and 10244

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, 10244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10240 and 10244 is 4.

GCF(10240,10244) = 4

GCF of 10240 and 10244

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

GCF of:
and

Greatest Common Factor of 10240 and 10244

GCF of 10240 and 10244 is 4

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 10244


2 10244
2 5122
13 2561
197 197
1

Prime factors of 10244 are 2,13,197. Prime factorization of 10244 in exponential form is:

10244 = 22×131×1971

∴ So by taking common prime factors GCF of 10240 and 10244 is 4

Greatest Common Factor of 10240 and 10244 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 10244

List of positive integer factors of 10244 that divides 10244 without a remainder.

1,2,4,13,26,52,197,394,788,2561,5122,10244

Greatest Common Factor

We found the factors and prime factorization of 10240 and 10244. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10244 is 4.

Also check out the Least Common Multiple of 10240 and 10244

Properties of GCF 10240 and 10244

(i) The GCF of 10240 and 10244 is associative

GCF of 10240 and 10244 = GCF of 10244 and 10240

Related Greatest Common Factor of 10240

Related Greatest Common Factor of 10244

Frequently Asked Questions on GCF of 10240 and 10244

1. What is the GCF of 10240 and 10244?

Answer: GCF of 10240 and 10244 is 4.

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 10244?

Answer: Factors of 10244 are 1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244. There are 12 integers that are factors of 10244. The greatest factor of 10244 is 10244.

4. How to Find the GCF of 10240 and 10244?

Answer:

Greatest Common Factor of 10240 and 10244 = 4

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 10244

10244 = 2 x 2 x 13 x 197

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10240 and 10244 is 4