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 581, 582 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 581 and 582 is 1.
GCF(581,582) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 581
7 | 581 |
83 | 83 |
1 |
Prime factors of 581 are 7,83. Prime factorization of 581 in exponential form is:
581 = 71×831
Prime Factorization of 582
2 | 582 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 582 are 2,3,97. Prime factorization of 582 in exponential form is:
582 = 21×31×971
∴ So by taking common prime factors GCF of 581 and 582 is 1
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors and prime factorization of 581 and 582. The biggest common factor number is the GCF number.
So the greatest common factor 581 and 582 is 1.
Also check out the Least Common Multiple of 581 and 582
(i) The GCF of 581 and 582 is associative
GCF of 581 and 582 = GCF of 582 and 581
1. What is the GCF of 581 and 582?
Answer: GCF of 581 and 582 is 1.
2. What are the Factors of 581?
Answer: Factors of 581 are 1, 7, 83, 581. There are 4 integers that are factors of 581. The greatest factor of 581 is 581.
3. What are the Factors of 582?
Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.
4. How to Find the GCF of 581 and 582?
Answer:
Greatest Common Factor of 581 and 582 = 1
Step 1: Find the prime factorization of 581
581 = 7 x 83
Step 2: Find the prime factorization of 582
582 = 2 x 3 x 97
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 581 and 582 is 1