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 4347, 4348 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4347 and 4348 is 1.
GCF(4347,4348) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4347
3 | 4347 |
3 | 1449 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 4347 are 3,7,23. Prime factorization of 4347 in exponential form is:
4347 = 33×71×231
Prime Factorization of 4348
2 | 4348 |
2 | 2174 |
1087 | 1087 |
1 |
Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:
4348 = 22×10871
∴ So by taking common prime factors GCF of 4347 and 4348 is 1
Factors of 4347
List of positive integer factors of 4347 that divides 4347 without a remainder.
1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347
Factors of 4348
List of positive integer factors of 4348 that divides 4348 without a remainder.
1,2,4,1087,2174,4348
Greatest Common Factor
We found the factors and prime factorization of 4347 and 4348. The biggest common factor number is the GCF number.
So the greatest common factor 4347 and 4348 is 1.
Also check out the Least Common Multiple of 4347 and 4348
(i) The GCF of 4347 and 4348 is associative
GCF of 4347 and 4348 = GCF of 4348 and 4347
1. What is the GCF of 4347 and 4348?
Answer: GCF of 4347 and 4348 is 1.
2. What are the Factors of 4347?
Answer: Factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347. There are 16 integers that are factors of 4347. The greatest factor of 4347 is 4347.
3. What are the Factors of 4348?
Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.
4. How to Find the GCF of 4347 and 4348?
Answer:
Greatest Common Factor of 4347 and 4348 = 1
Step 1: Find the prime factorization of 4347
4347 = 3 x 3 x 3 x 7 x 23
Step 2: Find the prime factorization of 4348
4348 = 2 x 2 x 1087
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 4347 and 4348 is 1