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 9338, 9342 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9338 and 9342 is 2.
GCF(9338,9342) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9338
2 | 9338 |
7 | 4669 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 9338 are 2,7,23,29. Prime factorization of 9338 in exponential form is:
9338 = 21×71×231×291
Prime Factorization of 9342
2 | 9342 |
3 | 4671 |
3 | 1557 |
3 | 519 |
173 | 173 |
1 |
Prime factors of 9342 are 2,3,173. Prime factorization of 9342 in exponential form is:
9342 = 21×33×1731
∴ So by taking common prime factors GCF of 9338 and 9342 is 2
Factors of 9338
List of positive integer factors of 9338 that divides 9338 without a remainder.
1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Factors of 9342
List of positive integer factors of 9342 that divides 9342 without a remainder.
1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Greatest Common Factor
We found the factors and prime factorization of 9338 and 9342. The biggest common factor number is the GCF number.
So the greatest common factor 9338 and 9342 is 2.
Also check out the Least Common Multiple of 9338 and 9342
(i) The GCF of 9338 and 9342 is associative
GCF of 9338 and 9342 = GCF of 9342 and 9338
1. What is the GCF of 9338 and 9342?
Answer: GCF of 9338 and 9342 is 2.
2. What are the Factors of 9338?
Answer: Factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338. There are 16 integers that are factors of 9338. The greatest factor of 9338 is 9338.
3. What are the Factors of 9342?
Answer: Factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. There are 16 integers that are factors of 9342. The greatest factor of 9342 is 9342.
4. How to Find the GCF of 9338 and 9342?
Answer:
Greatest Common Factor of 9338 and 9342 = 2
Step 1: Find the prime factorization of 9338
9338 = 2 x 7 x 23 x 29
Step 2: Find the prime factorization of 9342
9342 = 2 x 3 x 3 x 3 x 173
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 9338 and 9342 is 2