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, 1582 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1578 and 1582 is 2.
GCF(1578,1582) = 2
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 1582
2 | 1582 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 1582 are 2,7,113. Prime factorization of 1582 in exponential form is:
1582 = 21×71×1131
∴ So by taking common prime factors GCF of 1578 and 1582 is 2
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 1582
List of positive integer factors of 1582 that divides 1582 without a remainder.
1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors and prime factorization of 1578 and 1582. The biggest common factor number is the GCF number.
So the greatest common factor 1578 and 1582 is 2.
Also check out the Least Common Multiple of 1578 and 1582
(i) The GCF of 1578 and 1582 is associative
GCF of 1578 and 1582 = GCF of 1582 and 1578
1. What is the GCF of 1578 and 1582?
Answer: GCF of 1578 and 1582 is 2.
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 1582?
Answer: Factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582. There are 8 integers that are factors of 1582. The greatest factor of 1582 is 1582.
4. How to Find the GCF of 1578 and 1582?
Answer:
Greatest Common Factor of 1578 and 1582 = 2
Step 1: Find the prime factorization of 1578
1578 = 2 x 3 x 263
Step 2: Find the prime factorization of 1582
1582 = 2 x 7 x 113
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 1578 and 1582 is 2