Greatest Common Factor of 589 and 593

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

• Greatest Common Factor of 589 and 593 by prime factorization method
• Greatest Common Factor of 589 and 593 by matching factors method

Prime Factorization of 589

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 19¹×31¹

Prime Factorization of 593

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 593¹

∴ So by taking common prime factors GCF of 589 and 593 is 1

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors and prime factorization of 589 and 593. The biggest common factor number is the GCF number.
So the greatest common factor 589 and 593 is 1.

Also check out the Least Common Multiple of 589 and 593

(i) The GCF of 589 and 593 is associative

GCF of 589 and 593 = GCF of 593 and 589

1. What is the GCF of 589 and 593?

Answer: GCF of 589 and 593 is 1.

2. What are the Factors of 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

3. What are the Factors of 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

4. How to Find the GCF of 589 and 593?

Answer:

Greatest Common Factor of 589 and 593 = 1

Step 1: Find the prime factorization of 589

589 = 19 x 31

Step 2: Find the prime factorization of 593

593 = 593

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 589 and 593 is 1