Greatest Common Factor of 4588 and 4596

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 4588, 4596 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4588 and 4596 is 4.

GCF(4588,4596) = 4

GCF of 4588 and 4596

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

GCF of:
and

Greatest Common Factor of 4588 and 4596

GCF of 4588 and 4596 is 4

Prime Factorization of 4588


2 4588
2 2294
31 1147
37 37
1

Prime factors of 4588 are 2,31,37. Prime factorization of 4588 in exponential form is:

4588 = 22×311×371

Prime Factorization of 4596


2 4596
2 2298
3 1149
383 383
1

Prime factors of 4596 are 2,3,383. Prime factorization of 4596 in exponential form is:

4596 = 22×31×3831

∴ So by taking common prime factors GCF of 4588 and 4596 is 4

Greatest Common Factor of 4588 and 4596 by matching factors method

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Factors of 4596

List of positive integer factors of 4596 that divides 4596 without a remainder.

1,2,3,4,6,12,383,766,1149,1532,2298,4596

Greatest Common Factor

We found the factors and prime factorization of 4588 and 4596. The biggest common factor number is the GCF number.
So the greatest common factor 4588 and 4596 is 4.

Also check out the Least Common Multiple of 4588 and 4596

Properties of GCF 4588 and 4596

(i) The GCF of 4588 and 4596 is associative

GCF of 4588 and 4596 = GCF of 4596 and 4588

Related Greatest Common Factor of 4588

Related Greatest Common Factor of 4596

Frequently Asked Questions on GCF of 4588 and 4596

1. What is the GCF of 4588 and 4596?

Answer: GCF of 4588 and 4596 is 4.

2. What are the Factors of 4588?

Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.

3. What are the Factors of 4596?

Answer: Factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596. There are 12 integers that are factors of 4596. The greatest factor of 4596 is 4596.

4. How to Find the GCF of 4588 and 4596?

Answer:

Greatest Common Factor of 4588 and 4596 = 4

Step 1: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

Step 2: Find the prime factorization of 4596

4596 = 2 x 2 x 3 x 383

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 4588 and 4596 is 4