Greatest Common Factor of 288 and 294

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, 294 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 288 and 294 is 6.

GCF(288,294) = 6

GCF of 288 and 294

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

GCF of:
and

Greatest Common Factor of 288 and 294

GCF of 288 and 294 is 6

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 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2,3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

∴ So by taking common prime factors GCF of 288 and 294 is 6

Greatest Common Factor of 288 and 294 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors and prime factorization of 288 and 294. The biggest common factor number is the GCF number.
So the greatest common factor 288 and 294 is 6.

Also check out the Least Common Multiple of 288 and 294

Properties of GCF 288 and 294

(i) The GCF of 288 and 294 is associative

GCF of 288 and 294 = GCF of 294 and 288

Related Greatest Common Factor of 288

Related Greatest Common Factor of 294

Frequently Asked Questions on GCF of 288 and 294

1. What is the GCF of 288 and 294?

Answer: GCF of 288 and 294 is 6.

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 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the GCF of 288 and 294?

Answer:

Greatest Common Factor of 288 and 294 = 6

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 294

294 = 2 x 3 x 7 x 7

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 288 and 294 is 6