Greatest Common Factor of 588 and 594

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 588, 594 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 588 and 594 is 6.

GCF(588,594) = 6

GCF of 588 and 594

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

GCF of:
and

Greatest Common Factor of 588 and 594

GCF of 588 and 594 is 6

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2,3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Prime Factorization of 594


2 594
3 297
3 99
3 33
11 11
1

Prime factors of 594 are 2,3,11. Prime factorization of 594 in exponential form is:

594 = 21×33×111

∴ So by taking common prime factors GCF of 588 and 594 is 6

Greatest Common Factor of 588 and 594 by matching factors method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors and prime factorization of 588 and 594. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 594 is 6.

Also check out the Least Common Multiple of 588 and 594

Properties of GCF 588 and 594

(i) The GCF of 588 and 594 is associative

GCF of 588 and 594 = GCF of 594 and 588

Related Greatest Common Factor of 588

Related Greatest Common Factor of 594

Frequently Asked Questions on GCF of 588 and 594

1. What is the GCF of 588 and 594?

Answer: GCF of 588 and 594 is 6.

2. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

3. What are the Factors of 594?

Answer: Factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594. There are 16 integers that are factors of 594. The greatest factor of 594 is 594.

4. How to Find the GCF of 588 and 594?

Answer:

Greatest Common Factor of 588 and 594 = 6

Step 1: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

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 588 and 594 is 6