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 9566, 9572 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9566 and 9572 is 2.
GCF(9566,9572) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9566
2 | 9566 |
4783 | 4783 |
1 |
Prime factors of 9566 are 2,4783. Prime factorization of 9566 in exponential form is:
9566 = 21×47831
Prime Factorization of 9572
2 | 9572 |
2 | 4786 |
2393 | 2393 |
1 |
Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:
9572 = 22×23931
∴ So by taking common prime factors GCF of 9566 and 9572 is 2
Factors of 9566
List of positive integer factors of 9566 that divides 9566 without a remainder.
1,2,4783,9566
Factors of 9572
List of positive integer factors of 9572 that divides 9572 without a remainder.
1,2,4,2393,4786,9572
Greatest Common Factor
We found the factors and prime factorization of 9566 and 9572. The biggest common factor number is the GCF number.
So the greatest common factor 9566 and 9572 is 2.
Also check out the Least Common Multiple of 9566 and 9572
(i) The GCF of 9566 and 9572 is associative
GCF of 9566 and 9572 = GCF of 9572 and 9566
1. What is the GCF of 9566 and 9572?
Answer: GCF of 9566 and 9572 is 2.
2. What are the Factors of 9566?
Answer: Factors of 9566 are 1, 2, 4783, 9566. There are 4 integers that are factors of 9566. The greatest factor of 9566 is 9566.
3. What are the Factors of 9572?
Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.
4. How to Find the GCF of 9566 and 9572?
Answer:
Greatest Common Factor of 9566 and 9572 = 2
Step 1: Find the prime factorization of 9566
9566 = 2 x 4783
Step 2: Find the prime factorization of 9572
9572 = 2 x 2 x 2393
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 9566 and 9572 is 2