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 1587, 1595 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1587 and 1595 is 1.
GCF(1587,1595) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1587
3 | 1587 |
23 | 529 |
23 | 23 |
1 |
Prime factors of 1587 are 3,23. Prime factorization of 1587 in exponential form is:
1587 = 31×232
Prime Factorization of 1595
5 | 1595 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 1595 are 5,11,29. Prime factorization of 1595 in exponential form is:
1595 = 51×111×291
∴ So by taking common prime factors GCF of 1587 and 1595 is 1
Factors of 1587
List of positive integer factors of 1587 that divides 1587 without a remainder.
1,3,23,69,529,1587
Factors of 1595
List of positive integer factors of 1595 that divides 1595 without a remainder.
1,5,11,29,55,145,319,1595
Greatest Common Factor
We found the factors and prime factorization of 1587 and 1595. The biggest common factor number is the GCF number.
So the greatest common factor 1587 and 1595 is 1.
Also check out the Least Common Multiple of 1587 and 1595
(i) The GCF of 1587 and 1595 is associative
GCF of 1587 and 1595 = GCF of 1595 and 1587
1. What is the GCF of 1587 and 1595?
Answer: GCF of 1587 and 1595 is 1.
2. What are the Factors of 1587?
Answer: Factors of 1587 are 1, 3, 23, 69, 529, 1587. There are 6 integers that are factors of 1587. The greatest factor of 1587 is 1587.
3. What are the Factors of 1595?
Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.
4. How to Find the GCF of 1587 and 1595?
Answer:
Greatest Common Factor of 1587 and 1595 = 1
Step 1: Find the prime factorization of 1587
1587 = 3 x 23 x 23
Step 2: Find the prime factorization of 1595
1595 = 5 x 11 x 29
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 1587 and 1595 is 1