Greatest Common Factor of 1278 and 1280

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 1278, 1280 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1278 and 1280 is 2.

GCF(1278,1280) = 2

GCF of 1278 and 1280

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

GCF of:
and

Greatest Common Factor of 1278 and 1280

GCF of 1278 and 1280 is 2

Prime Factorization of 1278


2 1278
3 639
3 213
71 71
1

Prime factors of 1278 are 2,3,71. Prime factorization of 1278 in exponential form is:

1278 = 21×32×711

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

∴ So by taking common prime factors GCF of 1278 and 1280 is 2

Greatest Common Factor of 1278 and 1280 by matching factors method

Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1,2,3,6,9,18,71,142,213,426,639,1278

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

Greatest Common Factor

We found the factors and prime factorization of 1278 and 1280. The biggest common factor number is the GCF number.
So the greatest common factor 1278 and 1280 is 2.

Also check out the Least Common Multiple of 1278 and 1280

Properties of GCF 1278 and 1280

(i) The GCF of 1278 and 1280 is associative

GCF of 1278 and 1280 = GCF of 1280 and 1278

Related Greatest Common Factor of 1278

Related Greatest Common Factor of 1280

Frequently Asked Questions on GCF of 1278 and 1280

1. What is the GCF of 1278 and 1280?

Answer: GCF of 1278 and 1280 is 2.

2. What are the Factors of 1278?

Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.

3. 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.

4. How to Find the GCF of 1278 and 1280?

Answer:

Greatest Common Factor of 1278 and 1280 = 2

Step 1: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1278 and 1280 is 2