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 9342, 9349 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9342 and 9349 is 1.
GCF(9342,9349) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9349
9349 | 9349 |
1 |
Prime factors of 9349 are 9349. Prime factorization of 9349 in exponential form is:
9349 = 93491
∴ So by taking common prime factors GCF of 9342 and 9349 is 1
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
Factors of 9349
List of positive integer factors of 9349 that divides 9349 without a remainder.
1,9349
Greatest Common Factor
We found the factors and prime factorization of 9342 and 9349. The biggest common factor number is the GCF number.
So the greatest common factor 9342 and 9349 is 1.
Also check out the Least Common Multiple of 9342 and 9349
(i) The GCF of 9342 and 9349 is associative
GCF of 9342 and 9349 = GCF of 9349 and 9342
1. What is the GCF of 9342 and 9349?
Answer: GCF of 9342 and 9349 is 1.
2. 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.
3. What are the Factors of 9349?
Answer: Factors of 9349 are 1, 9349. There are 2 integers that are factors of 9349. The greatest factor of 9349 is 9349.
4. How to Find the GCF of 9342 and 9349?
Answer:
Greatest Common Factor of 9342 and 9349 = 1
Step 1: Find the prime factorization of 9342
9342 = 2 x 3 x 3 x 3 x 173
Step 2: Find the prime factorization of 9349
9349 = 9349
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 9342 and 9349 is 1