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 1586, 1592 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1586 and 1592 is 2.
GCF(1586,1592) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1586
2 | 1586 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 1586 are 2,13,61. Prime factorization of 1586 in exponential form is:
1586 = 21×131×611
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
∴ So by taking common prime factors GCF of 1586 and 1592 is 2
Factors of 1586
List of positive integer factors of 1586 that divides 1586 without a remainder.
1,2,13,26,61,122,793,1586
Factors of 1592
List of positive integer factors of 1592 that divides 1592 without a remainder.
1,2,4,8,199,398,796,1592
Greatest Common Factor
We found the factors and prime factorization of 1586 and 1592. The biggest common factor number is the GCF number.
So the greatest common factor 1586 and 1592 is 2.
Also check out the Least Common Multiple of 1586 and 1592
(i) The GCF of 1586 and 1592 is associative
GCF of 1586 and 1592 = GCF of 1592 and 1586
1. What is the GCF of 1586 and 1592?
Answer: GCF of 1586 and 1592 is 2.
2. What are the Factors of 1586?
Answer: Factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586. There are 8 integers that are factors of 1586. The greatest factor of 1586 is 1586.
3. 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.
4. How to Find the GCF of 1586 and 1592?
Answer:
Greatest Common Factor of 1586 and 1592 = 2
Step 1: Find the prime factorization of 1586
1586 = 2 x 13 x 61
Step 2: Find the prime factorization of 1592
1592 = 2 x 2 x 2 x 199
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1586 and 1592 is 2