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 1592, 1597 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1592 and 1597 is 1.
GCF(1592,1597) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1592
2 | 1592 |
2 | 796 |
2 | 398 |
199 | 199 |
1 |
Prime factors of 1592 are 2,199. Prime factorization of 1592 in exponential form is:
1592 = 23×1991
Prime Factorization of 1597
1597 | 1597 |
1 |
Prime factors of 1597 are 1597. Prime factorization of 1597 in exponential form is:
1597 = 15971
∴ So by taking common prime factors GCF of 1592 and 1597 is 1
Factors of 1592
List of positive integer factors of 1592 that divides 1592 without a remainder.
1,2,4,8,199,398,796,1592
Factors of 1597
List of positive integer factors of 1597 that divides 1597 without a remainder.
1,1597
Greatest Common Factor
We found the factors and prime factorization of 1592 and 1597. The biggest common factor number is the GCF number.
So the greatest common factor 1592 and 1597 is 1.
Also check out the Least Common Multiple of 1592 and 1597
(i) The GCF of 1592 and 1597 is associative
GCF of 1592 and 1597 = GCF of 1597 and 1592
1. What is the GCF of 1592 and 1597?
Answer: GCF of 1592 and 1597 is 1.
2. What are the Factors of 1592?
Answer: Factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592. There are 8 integers that are factors of 1592. The greatest factor of 1592 is 1592.
3. What are the Factors of 1597?
Answer: Factors of 1597 are 1, 1597. There are 2 integers that are factors of 1597. The greatest factor of 1597 is 1597.
4. How to Find the GCF of 1592 and 1597?
Answer:
Greatest Common Factor of 1592 and 1597 = 1
Step 1: Find the prime factorization of 1592
1592 = 2 x 2 x 2 x 199
Step 2: Find the prime factorization of 1597
1597 = 1597
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 1592 and 1597 is 1