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 1591, 1593 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1591 and 1593 is 1.
GCF(1591,1593) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1591
37 | 1591 |
43 | 43 |
1 |
Prime factors of 1591 are 37,43. Prime factorization of 1591 in exponential form is:
1591 = 371×431
Prime Factorization of 1593
3 | 1593 |
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 1593 are 3,59. Prime factorization of 1593 in exponential form is:
1593 = 33×591
∴ So by taking common prime factors GCF of 1591 and 1593 is 1
Factors of 1591
List of positive integer factors of 1591 that divides 1591 without a remainder.
1,37,43,1591
Factors of 1593
List of positive integer factors of 1593 that divides 1593 without a remainder.
1,3,9,27,59,177,531,1593
Greatest Common Factor
We found the factors and prime factorization of 1591 and 1593. The biggest common factor number is the GCF number.
So the greatest common factor 1591 and 1593 is 1.
Also check out the Least Common Multiple of 1591 and 1593
(i) The GCF of 1591 and 1593 is associative
GCF of 1591 and 1593 = GCF of 1593 and 1591
1. What is the GCF of 1591 and 1593?
Answer: GCF of 1591 and 1593 is 1.
2. What are the Factors of 1591?
Answer: Factors of 1591 are 1, 37, 43, 1591. There are 4 integers that are factors of 1591. The greatest factor of 1591 is 1591.
3. What are the Factors of 1593?
Answer: Factors of 1593 are 1, 3, 9, 27, 59, 177, 531, 1593. There are 8 integers that are factors of 1593. The greatest factor of 1593 is 1593.
4. How to Find the GCF of 1591 and 1593?
Answer:
Greatest Common Factor of 1591 and 1593 = 1
Step 1: Find the prime factorization of 1591
1591 = 37 x 43
Step 2: Find the prime factorization of 1593
1593 = 3 x 3 x 3 x 59
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 1591 and 1593 is 1