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 1574, 1578 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1574 and 1578 is 2.
GCF(1574,1578) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1574
2 | 1574 |
787 | 787 |
1 |
Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:
1574 = 21×7871
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
∴ So by taking common prime factors GCF of 1574 and 1578 is 2
Factors of 1574
List of positive integer factors of 1574 that divides 1574 without a remainder.
1,2,787,1574
Factors of 1578
List of positive integer factors of 1578 that divides 1578 without a remainder.
1,2,3,6,263,526,789,1578
Greatest Common Factor
We found the factors and prime factorization of 1574 and 1578. The biggest common factor number is the GCF number.
So the greatest common factor 1574 and 1578 is 2.
Also check out the Least Common Multiple of 1574 and 1578
(i) The GCF of 1574 and 1578 is associative
GCF of 1574 and 1578 = GCF of 1578 and 1574
1. What is the GCF of 1574 and 1578?
Answer: GCF of 1574 and 1578 is 2.
2. What are the Factors of 1574?
Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.
3. 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.
4. How to Find the GCF of 1574 and 1578?
Answer:
Greatest Common Factor of 1574 and 1578 = 2
Step 1: Find the prime factorization of 1574
1574 = 2 x 787
Step 2: Find the prime factorization of 1578
1578 = 2 x 3 x 263
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 1574 and 1578 is 2