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 588, 589 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 588 and 589 is 1.
GCF(588,589) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 588
2 | 588 |
2 | 294 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 588 are 2,3,7. Prime factorization of 588 in exponential form is:
588 = 22×31×72
Prime Factorization of 589
19 | 589 |
31 | 31 |
1 |
Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:
589 = 191×311
∴ So by taking common prime factors GCF of 588 and 589 is 1
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
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 588 and 589. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 589 is 1.
Also check out the Least Common Multiple of 588 and 589
(i) The GCF of 588 and 589 is associative
GCF of 588 and 589 = GCF of 589 and 588
1. What is the GCF of 588 and 589?
Answer: GCF of 588 and 589 is 1.
2. What are the Factors of 588?
Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.
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 588 and 589?
Answer:
Greatest Common Factor of 588 and 589 = 1
Step 1: Find the prime factorization of 588
588 = 2 x 2 x 3 x 7 x 7
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 588 and 589 is 1