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 8574, 8578 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8574 and 8578 is 2.
GCF(8574,8578) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8574
2 | 8574 |
3 | 4287 |
1429 | 1429 |
1 |
Prime factors of 8574 are 2,3,1429. Prime factorization of 8574 in exponential form is:
8574 = 21×31×14291
Prime Factorization of 8578
2 | 8578 |
4289 | 4289 |
1 |
Prime factors of 8578 are 2,4289. Prime factorization of 8578 in exponential form is:
8578 = 21×42891
∴ So by taking common prime factors GCF of 8574 and 8578 is 2
Factors of 8574
List of positive integer factors of 8574 that divides 8574 without a remainder.
1,2,3,6,1429,2858,4287,8574
Factors of 8578
List of positive integer factors of 8578 that divides 8578 without a remainder.
1,2,4289,8578
Greatest Common Factor
We found the factors and prime factorization of 8574 and 8578. The biggest common factor number is the GCF number.
So the greatest common factor 8574 and 8578 is 2.
Also check out the Least Common Multiple of 8574 and 8578
(i) The GCF of 8574 and 8578 is associative
GCF of 8574 and 8578 = GCF of 8578 and 8574
1. What is the GCF of 8574 and 8578?
Answer: GCF of 8574 and 8578 is 2.
2. What are the Factors of 8574?
Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.
3. What are the Factors of 8578?
Answer: Factors of 8578 are 1, 2, 4289, 8578. There are 4 integers that are factors of 8578. The greatest factor of 8578 is 8578.
4. How to Find the GCF of 8574 and 8578?
Answer:
Greatest Common Factor of 8574 and 8578 = 2
Step 1: Find the prime factorization of 8574
8574 = 2 x 3 x 1429
Step 2: Find the prime factorization of 8578
8578 = 2 x 4289
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 8574 and 8578 is 2