Greatest Common Factor of 1589 and 1594

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 1589, 1594 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1589 and 1594 is 1.

GCF(1589,1594) = 1

GCF of 1589 and 1594

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

GCF of:
and

Greatest Common Factor of 1589 and 1594

GCF of 1589 and 1594 is 1

Prime Factorization of 1589


7 1589
227 227
1

Prime factors of 1589 are 7,227. Prime factorization of 1589 in exponential form is:

1589 = 71×2271

Prime Factorization of 1594


2 1594
797 797
1

Prime factors of 1594 are 2,797. Prime factorization of 1594 in exponential form is:

1594 = 21×7971

∴ So by taking common prime factors GCF of 1589 and 1594 is 1

Greatest Common Factor of 1589 and 1594 by matching factors method

Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1,7,227,1589

Factors of 1594

List of positive integer factors of 1594 that divides 1594 without a remainder.

1,2,797,1594

Greatest Common Factor

We found the factors and prime factorization of 1589 and 1594. The biggest common factor number is the GCF number.
So the greatest common factor 1589 and 1594 is 1.

Also check out the Least Common Multiple of 1589 and 1594

Properties of GCF 1589 and 1594

(i) The GCF of 1589 and 1594 is associative

GCF of 1589 and 1594 = GCF of 1594 and 1589

Related Greatest Common Factor of 1589

Related Greatest Common Factor of 1594

Frequently Asked Questions on GCF of 1589 and 1594

1. What is the GCF of 1589 and 1594?

Answer: GCF of 1589 and 1594 is 1.

2. What are the Factors of 1589?

Answer: Factors of 1589 are 1, 7, 227, 1589. There are 4 integers that are factors of 1589. The greatest factor of 1589 is 1589.

3. What are the Factors of 1594?

Answer: Factors of 1594 are 1, 2, 797, 1594. There are 4 integers that are factors of 1594. The greatest factor of 1594 is 1594.

4. How to Find the GCF of 1589 and 1594?

Answer:

Greatest Common Factor of 1589 and 1594 = 1

Step 1: Find the prime factorization of 1589

1589 = 7 x 227

Step 2: Find the prime factorization of 1594

1594 = 2 x 797

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1589 and 1594 is 1