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 9535, 9542 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9535 and 9542 is 1.
GCF(9535,9542) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9535
5 | 9535 |
1907 | 1907 |
1 |
Prime factors of 9535 are 5,1907. Prime factorization of 9535 in exponential form is:
9535 = 51×19071
Prime Factorization of 9542
2 | 9542 |
13 | 4771 |
367 | 367 |
1 |
Prime factors of 9542 are 2,13,367. Prime factorization of 9542 in exponential form is:
9542 = 21×131×3671
∴ So by taking common prime factors GCF of 9535 and 9542 is 1
Factors of 9535
List of positive integer factors of 9535 that divides 9535 without a remainder.
1,5,1907,9535
Factors of 9542
List of positive integer factors of 9542 that divides 9542 without a remainder.
1,2,13,26,367,734,4771,9542
Greatest Common Factor
We found the factors and prime factorization of 9535 and 9542. The biggest common factor number is the GCF number.
So the greatest common factor 9535 and 9542 is 1.
Also check out the Least Common Multiple of 9535 and 9542
(i) The GCF of 9535 and 9542 is associative
GCF of 9535 and 9542 = GCF of 9542 and 9535
1. What is the GCF of 9535 and 9542?
Answer: GCF of 9535 and 9542 is 1.
2. What are the Factors of 9535?
Answer: Factors of 9535 are 1, 5, 1907, 9535. There are 4 integers that are factors of 9535. The greatest factor of 9535 is 9535.
3. What are the Factors of 9542?
Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.
4. How to Find the GCF of 9535 and 9542?
Answer:
Greatest Common Factor of 9535 and 9542 = 1
Step 1: Find the prime factorization of 9535
9535 = 5 x 1907
Step 2: Find the prime factorization of 9542
9542 = 2 x 13 x 367
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 9535 and 9542 is 1