Greatest Common Factor of 3588 and 3592

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 3588, 3592 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3588 and 3592 is 4.

GCF(3588,3592) = 4

GCF of 3588 and 3592

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

GCF of:
and

Greatest Common Factor of 3588 and 3592

GCF of 3588 and 3592 is 4

Prime Factorization of 3588


2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 3588 are 2,3,13,23. Prime factorization of 3588 in exponential form is:

3588 = 22×31×131×231

Prime Factorization of 3592


2 3592
2 1796
2 898
449 449
1

Prime factors of 3592 are 2,449. Prime factorization of 3592 in exponential form is:

3592 = 23×4491

∴ So by taking common prime factors GCF of 3588 and 3592 is 4

Greatest Common Factor of 3588 and 3592 by matching factors method

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Factors of 3592

List of positive integer factors of 3592 that divides 3592 without a remainder.

1,2,4,8,449,898,1796,3592

Greatest Common Factor

We found the factors and prime factorization of 3588 and 3592. The biggest common factor number is the GCF number.
So the greatest common factor 3588 and 3592 is 4.

Also check out the Least Common Multiple of 3588 and 3592

Properties of GCF 3588 and 3592

(i) The GCF of 3588 and 3592 is associative

GCF of 3588 and 3592 = GCF of 3592 and 3588

Related Greatest Common Factor of 3588

Related Greatest Common Factor of 3592

Frequently Asked Questions on GCF of 3588 and 3592

1. What is the GCF of 3588 and 3592?

Answer: GCF of 3588 and 3592 is 4.

2. What are the Factors of 3588?

Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.

3. What are the Factors of 3592?

Answer: Factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592. There are 8 integers that are factors of 3592. The greatest factor of 3592 is 3592.

4. How to Find the GCF of 3588 and 3592?

Answer:

Greatest Common Factor of 3588 and 3592 = 4

Step 1: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 3592

3592 = 2 x 2 x 2 x 449

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 3588 and 3592 is 4