Greatest Common Factor of 287 and 288

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 287, 288 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 287 and 288 is 1.

GCF(287,288) = 1

GCF of 287 and 288

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

GCF of:
and

Greatest Common Factor of 287 and 288

GCF of 287 and 288 is 1

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

Prime Factorization of 288


2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 288 are 2,3. Prime factorization of 288 in exponential form is:

288 = 25×32

∴ So by taking common prime factors GCF of 287 and 288 is 1

Greatest Common Factor of 287 and 288 by matching factors method

Factors of 287

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

1,7,41,287

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors and prime factorization of 287 and 288. The biggest common factor number is the GCF number.
So the greatest common factor 287 and 288 is 1.

Also check out the Least Common Multiple of 287 and 288

Properties of GCF 287 and 288

(i) The GCF of 287 and 288 is associative

GCF of 287 and 288 = GCF of 288 and 287

Related Greatest Common Factor of 287

Related Greatest Common Factor of 288

Frequently Asked Questions on GCF of 287 and 288

1. What is the GCF of 287 and 288?

Answer: GCF of 287 and 288 is 1.

2. 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.

3. What are the Factors of 288?

Answer: Factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. There are 18 integers that are factors of 288. The greatest factor of 288 is 288.

4. How to Find the GCF of 287 and 288?

Answer:

Greatest Common Factor of 287 and 288 = 1

Step 1: Find the prime factorization of 287

287 = 7 x 41

Step 2: Find the prime factorization of 288

288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

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 287 and 288 is 1