Greatest Common Factor of 1280 and 1287

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 1280, 1287 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1280 and 1287 is 1.

GCF(1280,1287) = 1

GCF of 1280 and 1287

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

GCF of:
and

Greatest Common Factor of 1280 and 1287

GCF of 1280 and 1287 is 1

Prime Factorization of 1280


2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 1280 are 2,5. Prime factorization of 1280 in exponential form is:

1280 = 28×51

Prime Factorization of 1287


3 1287
3 429
11 143
13 13
1

Prime factors of 1287 are 3,11,13. Prime factorization of 1287 in exponential form is:

1287 = 32×111×131

∴ So by taking common prime factors GCF of 1280 and 1287 is 1

Greatest Common Factor of 1280 and 1287 by matching factors method

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280

Factors of 1287

List of positive integer factors of 1287 that divides 1287 without a remainder.

1,3,9,11,13,33,39,99,117,143,429,1287

Greatest Common Factor

We found the factors and prime factorization of 1280 and 1287. The biggest common factor number is the GCF number.
So the greatest common factor 1280 and 1287 is 1.

Also check out the Least Common Multiple of 1280 and 1287

Properties of GCF 1280 and 1287

(i) The GCF of 1280 and 1287 is associative

GCF of 1280 and 1287 = GCF of 1287 and 1280

Related Greatest Common Factor of 1280

Related Greatest Common Factor of 1287

Frequently Asked Questions on GCF of 1280 and 1287

1. What is the GCF of 1280 and 1287?

Answer: GCF of 1280 and 1287 is 1.

2. What are the Factors of 1280?

Answer: Factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280. There are 18 integers that are factors of 1280. The greatest factor of 1280 is 1280.

3. What are the Factors of 1287?

Answer: Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. There are 12 integers that are factors of 1287. The greatest factor of 1287 is 1287.

4. How to Find the GCF of 1280 and 1287?

Answer:

Greatest Common Factor of 1280 and 1287 = 1

Step 1: Find the prime factorization of 1280

1280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 1287

1287 = 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 = = 1

Step 4: Therefore, the greatest common factor of 1280 and 1287 is 1