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 9574, 9578 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9574 and 9578 is 2.
GCF(9574,9578) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9574
2 | 9574 |
4787 | 4787 |
1 |
Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:
9574 = 21×47871
Prime Factorization of 9578
2 | 9578 |
4789 | 4789 |
1 |
Prime factors of 9578 are 2,4789. Prime factorization of 9578 in exponential form is:
9578 = 21×47891
∴ So by taking common prime factors GCF of 9574 and 9578 is 2
Factors of 9574
List of positive integer factors of 9574 that divides 9574 without a remainder.
1,2,4787,9574
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1,2,4789,9578
Greatest Common Factor
We found the factors and prime factorization of 9574 and 9578. The biggest common factor number is the GCF number.
So the greatest common factor 9574 and 9578 is 2.
Also check out the Least Common Multiple of 9574 and 9578
(i) The GCF of 9574 and 9578 is associative
GCF of 9574 and 9578 = GCF of 9578 and 9574
1. What is the GCF of 9574 and 9578?
Answer: GCF of 9574 and 9578 is 2.
2. What are the Factors of 9574?
Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.
3. What are the Factors of 9578?
Answer: Factors of 9578 are 1, 2, 4789, 9578. There are 4 integers that are factors of 9578. The greatest factor of 9578 is 9578.
4. How to Find the GCF of 9574 and 9578?
Answer:
Greatest Common Factor of 9574 and 9578 = 2
Step 1: Find the prime factorization of 9574
9574 = 2 x 4787
Step 2: Find the prime factorization of 9578
9578 = 2 x 4789
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 9574 and 9578 is 2