Greatest Common Factor of 588 and 596

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, 596 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 588 and 596 is 4.

GCF(588,596) = 4

GCF of 588 and 596

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

GCF of:
and

Greatest Common Factor of 588 and 596

GCF of 588 and 596 is 4

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 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

∴ So by taking common prime factors GCF of 588 and 596 is 4

Greatest Common Factor of 588 and 596 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 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors and prime factorization of 588 and 596. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 596 is 4.

Also check out the Least Common Multiple of 588 and 596

Properties of GCF 588 and 596

(i) The GCF of 588 and 596 is associative

GCF of 588 and 596 = GCF of 596 and 588

Related Greatest Common Factor of 588

Related Greatest Common Factor of 596

Frequently Asked Questions on GCF of 588 and 596

1. What is the GCF of 588 and 596?

Answer: GCF of 588 and 596 is 4.

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 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

4. How to Find the GCF of 588 and 596?

Answer:

Greatest Common Factor of 588 and 596 = 4

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 596

596 = 2 x 2 x 149

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 588 and 596 is 4