Greatest Common Factor of 584 and 588

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 584, 588 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 584 and 588 is 4.

GCF(584,588) = 4

GCF of 584 and 588

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

GCF of:
and

Greatest Common Factor of 584 and 588

GCF of 584 and 588 is 4

Prime Factorization of 584


2 584
2 292
2 146
73 73
1

Prime factors of 584 are 2,73. Prime factorization of 584 in exponential form is:

584 = 23×731

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

∴ So by taking common prime factors GCF of 584 and 588 is 4

Greatest Common Factor of 584 and 588 by matching factors method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

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

Greatest Common Factor

We found the factors and prime factorization of 584 and 588. The biggest common factor number is the GCF number.
So the greatest common factor 584 and 588 is 4.

Also check out the Least Common Multiple of 584 and 588

Properties of GCF 584 and 588

(i) The GCF of 584 and 588 is associative

GCF of 584 and 588 = GCF of 588 and 584

Related Greatest Common Factor of 584

Related Greatest Common Factor of 588

Frequently Asked Questions on GCF of 584 and 588

1. What is the GCF of 584 and 588?

Answer: GCF of 584 and 588 is 4.

2. What are the Factors of 584?

Answer: Factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584. There are 8 integers that are factors of 584. The greatest factor of 584 is 584.

3. 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.

4. How to Find the GCF of 584 and 588?

Answer:

Greatest Common Factor of 584 and 588 = 4

Step 1: Find the prime factorization of 584

584 = 2 x 2 x 2 x 73

Step 2: Find the prime factorization of 588

588 = 2 x 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 2 = 4

Step 4: Therefore, the greatest common factor of 584 and 588 is 4