Greatest Common Factor of 5589 and 5595

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 5589, 5595 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5589 and 5595 is 3.

GCF(5589,5595) = 3

GCF of 5589 and 5595

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

GCF of:
and

Greatest Common Factor of 5589 and 5595

GCF of 5589 and 5595 is 3

Prime Factorization of 5589


3 5589
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 5589 are 3,23. Prime factorization of 5589 in exponential form is:

5589 = 35×231

Prime Factorization of 5595


3 5595
5 1865
373 373
1

Prime factors of 5595 are 3,5,373. Prime factorization of 5595 in exponential form is:

5595 = 31×51×3731

∴ So by taking common prime factors GCF of 5589 and 5595 is 3

Greatest Common Factor of 5589 and 5595 by matching factors method

Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1,3,9,23,27,69,81,207,243,621,1863,5589

Factors of 5595

List of positive integer factors of 5595 that divides 5595 without a remainder.

1,3,5,15,373,1119,1865,5595

Greatest Common Factor

We found the factors and prime factorization of 5589 and 5595. The biggest common factor number is the GCF number.
So the greatest common factor 5589 and 5595 is 3.

Also check out the Least Common Multiple of 5589 and 5595

Properties of GCF 5589 and 5595

(i) The GCF of 5589 and 5595 is associative

GCF of 5589 and 5595 = GCF of 5595 and 5589

Related Greatest Common Factor of 5589

Related Greatest Common Factor of 5595

Frequently Asked Questions on GCF of 5589 and 5595

1. What is the GCF of 5589 and 5595?

Answer: GCF of 5589 and 5595 is 3.

2. What are the Factors of 5589?

Answer: Factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589. There are 12 integers that are factors of 5589. The greatest factor of 5589 is 5589.

3. What are the Factors of 5595?

Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.

4. How to Find the GCF of 5589 and 5595?

Answer:

Greatest Common Factor of 5589 and 5595 = 3

Step 1: Find the prime factorization of 5589

5589 = 3 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 5595

5595 = 3 x 5 x 373

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5589 and 5595 is 3