Greatest Common Factor of 10280 and 10288

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 10280, 10288 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10280 and 10288 is 8.

GCF(10280,10288) = 8

GCF of 10280 and 10288

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

GCF of:
and

Greatest Common Factor of 10280 and 10288

GCF of 10280 and 10288 is 8

Prime Factorization of 10280


2 10280
2 5140
2 2570
5 1285
257 257
1

Prime factors of 10280 are 2,5,257. Prime factorization of 10280 in exponential form is:

10280 = 23×51×2571

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

∴ So by taking common prime factors GCF of 10280 and 10288 is 8

Greatest Common Factor of 10280 and 10288 by matching factors method

Factors of 10280

List of positive integer factors of 10280 that divides 10280 without a remainder.

1,2,4,5,8,10,20,40,257,514,1028,1285,2056,2570,5140,10280

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

Greatest Common Factor

We found the factors and prime factorization of 10280 and 10288. The biggest common factor number is the GCF number.
So the greatest common factor 10280 and 10288 is 8.

Also check out the Least Common Multiple of 10280 and 10288

Properties of GCF 10280 and 10288

(i) The GCF of 10280 and 10288 is associative

GCF of 10280 and 10288 = GCF of 10288 and 10280

Related Greatest Common Factor of 10280

Related Greatest Common Factor of 10288

Frequently Asked Questions on GCF of 10280 and 10288

1. What is the GCF of 10280 and 10288?

Answer: GCF of 10280 and 10288 is 8.

2. What are the Factors of 10280?

Answer: Factors of 10280 are 1, 2, 4, 5, 8, 10, 20, 40, 257, 514, 1028, 1285, 2056, 2570, 5140, 10280. There are 16 integers that are factors of 10280. The greatest factor of 10280 is 10280.

3. 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.

4. How to Find the GCF of 10280 and 10288?

Answer:

Greatest Common Factor of 10280 and 10288 = 8

Step 1: Find the prime factorization of 10280

10280 = 2 x 2 x 2 x 5 x 257

Step 2: Find the prime factorization of 10288

10288 = 2 x 2 x 2 x 2 x 643

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 10280 and 10288 is 8