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 1583, 1590 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1583 and 1590 is 1.
GCF(1583,1590) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1583
1583 | 1583 |
1 |
Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:
1583 = 15831
Prime Factorization of 1590
2 | 1590 |
3 | 795 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 1590 are 2.Prime factorization of 1590 in exponential form is:
1590 = 21×31×51×531
∴ So by taking common prime factors GCF of 1583 and 1590 is 1
Factors of 1583
List of positive integer factors of 1583 that divides 1583 without a remainder.
1,1583
Factors of 1590
List of positive integer factors of 1590 that divides 1590 without a remainder.
1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590
Greatest Common Factor
We found the factors and prime factorization of 1583 and 1590. The biggest common factor number is the GCF number.
So the greatest common factor 1583 and 1590 is 1.
Also check out the Least Common Multiple of 1583 and 1590
(i) The GCF of 1583 and 1590 is associative
GCF of 1583 and 1590 = GCF of 1590 and 1583
1. What is the GCF of 1583 and 1590?
Answer: GCF of 1583 and 1590 is 1.
2. What are the Factors of 1583?
Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.
3. What are the Factors of 1590?
Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.
4. How to Find the GCF of 1583 and 1590?
Answer:
Greatest Common Factor of 1583 and 1590 = 1
Step 1: Find the prime factorization of 1583
1583 = 1583
Step 2: Find the prime factorization of 1590
1590 = 2 x 3 x 5 x 53
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 1583 and 1590 is 1