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 1578, 1581 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1578 and 1581 is 3.
GCF(1578,1581) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1578
2 | 1578 |
3 | 789 |
263 | 263 |
1 |
Prime factors of 1578 are 2,3,263. Prime factorization of 1578 in exponential form is:
1578 = 21×31×2631
Prime Factorization of 1581
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 1581 are 3,17,31. Prime factorization of 1581 in exponential form is:
1581 = 31×171×311
∴ So by taking common prime factors GCF of 1578 and 1581 is 3
Factors of 1578
List of positive integer factors of 1578 that divides 1578 without a remainder.
1,2,3,6,263,526,789,1578
Factors of 1581
List of positive integer factors of 1581 that divides 1581 without a remainder.
1,3,17,31,51,93,527,1581
Greatest Common Factor
We found the factors and prime factorization of 1578 and 1581. The biggest common factor number is the GCF number.
So the greatest common factor 1578 and 1581 is 3.
Also check out the Least Common Multiple of 1578 and 1581
(i) The GCF of 1578 and 1581 is associative
GCF of 1578 and 1581 = GCF of 1581 and 1578
1. What is the GCF of 1578 and 1581?
Answer: GCF of 1578 and 1581 is 3.
2. What are the Factors of 1578?
Answer: Factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578. There are 8 integers that are factors of 1578. The greatest factor of 1578 is 1578.
3. What are the Factors of 1581?
Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.
4. How to Find the GCF of 1578 and 1581?
Answer:
Greatest Common Factor of 1578 and 1581 = 3
Step 1: Find the prime factorization of 1578
1578 = 2 x 3 x 263
Step 2: Find the prime factorization of 1581
1581 = 3 x 17 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1578 and 1581 is 3