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 9569, 9577 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9569 and 9577 is 1.
GCF(9569,9577) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9569
7 | 9569 |
1367 | 1367 |
1 |
Prime factors of 9569 are 7,1367. Prime factorization of 9569 in exponential form is:
9569 = 71×13671
Prime Factorization of 9577
61 | 9577 |
157 | 157 |
1 |
Prime factors of 9577 are 61,157. Prime factorization of 9577 in exponential form is:
9577 = 611×1571
∴ So by taking common prime factors GCF of 9569 and 9577 is 1
Factors of 9569
List of positive integer factors of 9569 that divides 9569 without a remainder.
1,7,1367,9569
Factors of 9577
List of positive integer factors of 9577 that divides 9577 without a remainder.
1,61,157,9577
Greatest Common Factor
We found the factors and prime factorization of 9569 and 9577. The biggest common factor number is the GCF number.
So the greatest common factor 9569 and 9577 is 1.
Also check out the Least Common Multiple of 9569 and 9577
(i) The GCF of 9569 and 9577 is associative
GCF of 9569 and 9577 = GCF of 9577 and 9569
1. What is the GCF of 9569 and 9577?
Answer: GCF of 9569 and 9577 is 1.
2. What are the Factors of 9569?
Answer: Factors of 9569 are 1, 7, 1367, 9569. There are 4 integers that are factors of 9569. The greatest factor of 9569 is 9569.
3. What are the Factors of 9577?
Answer: Factors of 9577 are 1, 61, 157, 9577. There are 4 integers that are factors of 9577. The greatest factor of 9577 is 9577.
4. How to Find the GCF of 9569 and 9577?
Answer:
Greatest Common Factor of 9569 and 9577 = 1
Step 1: Find the prime factorization of 9569
9569 = 7 x 1367
Step 2: Find the prime factorization of 9577
9577 = 61 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9569 and 9577 is 1