Greatest Common Factor of 10240 and 10248

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, 10248 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10240 and 10248 is 8.

GCF(10240,10248) = 8

GCF of 10240 and 10248

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

GCF of:
and

Greatest Common Factor of 10240 and 10248

GCF of 10240 and 10248 is 8

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 10248


2 10248
2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 10248 are 2,3,7,61. Prime factorization of 10248 in exponential form is:

10248 = 23×31×71×611

∴ So by taking common prime factors GCF of 10240 and 10248 is 8

Greatest Common Factor of 10240 and 10248 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 10248

List of positive integer factors of 10248 that divides 10248 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,61,84,122,168,183,244,366,427,488,732,854,1281,1464,1708,2562,3416,5124,10248

Greatest Common Factor

We found the factors and prime factorization of 10240 and 10248. The biggest common factor number is the GCF number.
So the greatest common factor 10240 and 10248 is 8.

Also check out the Least Common Multiple of 10240 and 10248

Properties of GCF 10240 and 10248

(i) The GCF of 10240 and 10248 is associative

GCF of 10240 and 10248 = GCF of 10248 and 10240

Related Greatest Common Factor of 10240

Related Greatest Common Factor of 10248

Frequently Asked Questions on GCF of 10240 and 10248

1. What is the GCF of 10240 and 10248?

Answer: GCF of 10240 and 10248 is 8.

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 10248?

Answer: Factors of 10248 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248. There are 32 integers that are factors of 10248. The greatest factor of 10248 is 10248.

4. How to Find the GCF of 10240 and 10248?

Answer:

Greatest Common Factor of 10240 and 10248 = 8

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 10248

10248 = 2 x 2 x 2 x 3 x 7 x 61

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 10240 and 10248 is 8