Greatest Common Factor of 288 and 291

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 288, 291 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 288 and 291 is 3.

GCF(288,291) = 3

GCF of 288 and 291

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

GCF of:
and

Greatest Common Factor of 288 and 291

GCF of 288 and 291 is 3

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

Prime Factorization of 291


3 291
97 97
1

Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:

291 = 31×971

∴ So by taking common prime factors GCF of 288 and 291 is 3

Greatest Common Factor of 288 and 291 by matching factors method

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

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors and prime factorization of 288 and 291. The biggest common factor number is the GCF number.
So the greatest common factor 288 and 291 is 3.

Also check out the Least Common Multiple of 288 and 291

Properties of GCF 288 and 291

(i) The GCF of 288 and 291 is associative

GCF of 288 and 291 = GCF of 291 and 288

Related Greatest Common Factor of 288

Related Greatest Common Factor of 291

Frequently Asked Questions on GCF of 288 and 291

1. What is the GCF of 288 and 291?

Answer: GCF of 288 and 291 is 3.

2. 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.

3. What are the Factors of 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the GCF of 288 and 291?

Answer:

Greatest Common Factor of 288 and 291 = 3

Step 1: Find the prime factorization of 288

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

Step 2: Find the prime factorization of 291

291 = 3 x 97

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

GCF = 3

Step 4: Therefore, the greatest common factor of 288 and 291 is 3