Greatest Common Factor of 587 and 589

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

• Greatest Common Factor of 587 and 589 by prime factorization method
• Greatest Common Factor of 587 and 589 by matching factors method

Prime Factorization of 587

Prime factors of 587 are 587. Prime factorization of 587 in exponential form is:

587 = 587¹

Prime Factorization of 589

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

589 = 19¹×31¹

∴ So by taking common prime factors GCF of 587 and 589 is 1

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 589

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

1,19,31,589

Greatest Common Factor

We found the factors and prime factorization of 587 and 589. The biggest common factor number is the GCF number.
So the greatest common factor 587 and 589 is 1.

Also check out the Least Common Multiple of 587 and 589

(i) The GCF of 587 and 589 is associative

GCF of 587 and 589 = GCF of 589 and 587

1. What is the GCF of 587 and 589?

Answer: GCF of 587 and 589 is 1.

2. What are the Factors of 587?

Answer: Factors of 587 are 1, 587. There are 2 integers that are factors of 587. The greatest factor of 587 is 587.

3. 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.

4. How to Find the GCF of 587 and 589?

Answer:

Greatest Common Factor of 587 and 589 = 1

Step 1: Find the prime factorization of 587

587 = 587

Step 2: Find the prime factorization of 589

589 = 19 x 31

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 587 and 589 is 1