Greatest Common Factor of 10288 and 10296

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 10288, 10296 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10288 and 10296 is 8.

GCF(10288,10296) = 8

GCF of 10288 and 10296

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

GCF of:
and

Greatest Common Factor of 10288 and 10296

GCF of 10288 and 10296 is 8

Prime Factorization of 10288


2 10288
2 5144
2 2572
2 1286
643 643
1

Prime factors of 10288 are 2,643. Prime factorization of 10288 in exponential form is:

10288 = 24×6431

Prime Factorization of 10296


2 10296
2 5148
2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 10296 are 2,3,11,13. Prime factorization of 10296 in exponential form is:

10296 = 23×32×111×131

∴ So by taking common prime factors GCF of 10288 and 10296 is 8

Greatest Common Factor of 10288 and 10296 by matching factors method

Factors of 10288

List of positive integer factors of 10288 that divides 10288 without a remainder.

1,2,4,8,16,643,1286,2572,5144,10288

Factors of 10296

List of positive integer factors of 10296 that divides 10296 without a remainder.

1,2,3,4,6,8,9,11,12,13,18,22,24,26,33,36,39,44,52,66,72,78,88,99,104,117,132,143,156,198,234,264,286,312,396,429,468,572,792,858,936,1144,1287,1716,2574,3432,5148,10296

Greatest Common Factor

We found the factors and prime factorization of 10288 and 10296. The biggest common factor number is the GCF number.
So the greatest common factor 10288 and 10296 is 8.

Also check out the Least Common Multiple of 10288 and 10296

Properties of GCF 10288 and 10296

(i) The GCF of 10288 and 10296 is associative

GCF of 10288 and 10296 = GCF of 10296 and 10288

Related Greatest Common Factor of 10288

Related Greatest Common Factor of 10296

Frequently Asked Questions on GCF of 10288 and 10296

1. What is the GCF of 10288 and 10296?

Answer: GCF of 10288 and 10296 is 8.

2. What are the Factors of 10288?

Answer: Factors of 10288 are 1, 2, 4, 8, 16, 643, 1286, 2572, 5144, 10288. There are 10 integers that are factors of 10288. The greatest factor of 10288 is 10288.

3. What are the Factors of 10296?

Answer: Factors of 10296 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 33, 36, 39, 44, 52, 66, 72, 78, 88, 99, 104, 117, 132, 143, 156, 198, 234, 264, 286, 312, 396, 429, 468, 572, 792, 858, 936, 1144, 1287, 1716, 2574, 3432, 5148, 10296. There are 48 integers that are factors of 10296. The greatest factor of 10296 is 10296.

4. How to Find the GCF of 10288 and 10296?

Answer:

Greatest Common Factor of 10288 and 10296 = 8

Step 1: Find the prime factorization of 10288

10288 = 2 x 2 x 2 x 2 x 643

Step 2: Find the prime factorization of 10296

10296 = 2 x 2 x 2 x 3 x 3 x 11 x 13

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 10288 and 10296 is 8