Greatest Common Factor of 1276 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 1276, 1280 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1276 and 1280 is 4.

GCF(1276,1280) = 4

GCF of 1276 and 1280

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

GCF of:
and

Greatest Common Factor of 1276 and 1280

GCF of 1276 and 1280 is 4

Prime Factorization of 1276


2 1276
2 638
11 319
29 29
1

Prime factors of 1276 are 2,11,29. Prime factorization of 1276 in exponential form is:

1276 = 22×111×291

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 1276 and 1280 is 4

Greatest Common Factor of 1276 and 1280 by matching factors method

Factors of 1276

List of positive integer factors of 1276 that divides 1276 without a remainder.

1,2,4,11,22,29,44,58,116,319,638,1276

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 1276 and 1280. The biggest common factor number is the GCF number.
So the greatest common factor 1276 and 1280 is 4.

Also check out the Least Common Multiple of 1276 and 1280

Properties of GCF 1276 and 1280

(i) The GCF of 1276 and 1280 is associative

GCF of 1276 and 1280 = GCF of 1280 and 1276

Related Greatest Common Factor of 1276

Related Greatest Common Factor of 1280

Frequently Asked Questions on GCF of 1276 and 1280

1. What is the GCF of 1276 and 1280?

Answer: GCF of 1276 and 1280 is 4.

2. What are the Factors of 1276?

Answer: Factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276. There are 12 integers that are factors of 1276. The greatest factor of 1276 is 1276.

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 1276 and 1280?

Answer:

Greatest Common Factor of 1276 and 1280 = 4

Step 1: Find the prime factorization of 1276

1276 = 2 x 2 x 11 x 29

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 1276 and 1280 is 4