Greatest Common Factor of 280 and 287

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 280, 287 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 280 and 287 is 7.

GCF(280,287) = 7

GCF of 280 and 287

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

GCF of:
and

Greatest Common Factor of 280 and 287

GCF of 280 and 287 is 7

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2,5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

Prime Factorization of 287


7 287
41 41
1

Prime factors of 287 are 7,41. Prime factorization of 287 in exponential form is:

287 = 71×411

∴ So by taking common prime factors GCF of 280 and 287 is 7

Greatest Common Factor of 280 and 287 by matching factors method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors and prime factorization of 280 and 287. The biggest common factor number is the GCF number.
So the greatest common factor 280 and 287 is 7.

Also check out the Least Common Multiple of 280 and 287

Properties of GCF 280 and 287

(i) The GCF of 280 and 287 is associative

GCF of 280 and 287 = GCF of 287 and 280

Related Greatest Common Factor of 280

Related Greatest Common Factor of 287

Frequently Asked Questions on GCF of 280 and 287

1. What is the GCF of 280 and 287?

Answer: GCF of 280 and 287 is 7.

2. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

3. What are the Factors of 287?

Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.

4. How to Find the GCF of 280 and 287?

Answer:

Greatest Common Factor of 280 and 287 = 7

Step 1: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

Step 2: Find the prime factorization of 287

287 = 7 x 41

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

GCF = 7

Step 4: Therefore, the greatest common factor of 280 and 287 is 7