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 9341, 9348 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9341 and 9348 is 1.
GCF(9341,9348) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9341
9341 | 9341 |
1 |
Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:
9341 = 93411
Prime Factorization of 9348
2 | 9348 |
2 | 4674 |
3 | 2337 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 9348 are 2.Prime factorization of 9348 in exponential form is:
9348 = 22×31×191×411
∴ So by taking common prime factors GCF of 9341 and 9348 is 1
Factors of 9341
List of positive integer factors of 9341 that divides 9341 without a remainder.
1,9341
Factors of 9348
List of positive integer factors of 9348 that divides 9348 without a remainder.
1,2,3,4,6,12,19,38,41,57,76,82,114,123,164,228,246,492,779,1558,2337,3116,4674,9348
Greatest Common Factor
We found the factors and prime factorization of 9341 and 9348. The biggest common factor number is the GCF number.
So the greatest common factor 9341 and 9348 is 1.
Also check out the Least Common Multiple of 9341 and 9348
(i) The GCF of 9341 and 9348 is associative
GCF of 9341 and 9348 = GCF of 9348 and 9341
1. What is the GCF of 9341 and 9348?
Answer: GCF of 9341 and 9348 is 1.
2. What are the Factors of 9341?
Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.
3. What are the Factors of 9348?
Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.
4. How to Find the GCF of 9341 and 9348?
Answer:
Greatest Common Factor of 9341 and 9348 = 1
Step 1: Find the prime factorization of 9341
9341 = 9341
Step 2: Find the prime factorization of 9348
9348 = 2 x 2 x 3 x 19 x 41
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 9341 and 9348 is 1