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 1595, 1598 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1595 and 1598 is 1.
GCF(1595,1598) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1598
2 | 1598 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 1598 are 2,17,47. Prime factorization of 1598 in exponential form is:
1598 = 21×171×471
∴ So by taking common prime factors GCF of 1595 and 1598 is 1
Factors of 1595
List of positive integer factors of 1595 that divides 1595 without a remainder.
1,5,11,29,55,145,319,1595
Factors of 1598
List of positive integer factors of 1598 that divides 1598 without a remainder.
1,2,17,34,47,94,799,1598
Greatest Common Factor
We found the factors and prime factorization of 1595 and 1598. The biggest common factor number is the GCF number.
So the greatest common factor 1595 and 1598 is 1.
Also check out the Least Common Multiple of 1595 and 1598
(i) The GCF of 1595 and 1598 is associative
GCF of 1595 and 1598 = GCF of 1598 and 1595
1. What is the GCF of 1595 and 1598?
Answer: GCF of 1595 and 1598 is 1.
2. 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.
3. What are the Factors of 1598?
Answer: Factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598. There are 8 integers that are factors of 1598. The greatest factor of 1598 is 1598.
4. How to Find the GCF of 1595 and 1598?
Answer:
Greatest Common Factor of 1595 and 1598 = 1
Step 1: Find the prime factorization of 1595
1595 = 5 x 11 x 29
Step 2: Find the prime factorization of 1598
1598 = 2 x 17 x 47
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 1595 and 1598 is 1