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 5343, 5348 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5343 and 5348 is 1.
GCF(5343,5348) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5343
3 | 5343 |
13 | 1781 |
137 | 137 |
1 |
Prime factors of 5343 are 3,13,137. Prime factorization of 5343 in exponential form is:
5343 = 31×131×1371
Prime Factorization of 5348
2 | 5348 |
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 5348 are 2,7,191. Prime factorization of 5348 in exponential form is:
5348 = 22×71×1911
∴ So by taking common prime factors GCF of 5343 and 5348 is 1
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1,3,13,39,137,411,1781,5343
Factors of 5348
List of positive integer factors of 5348 that divides 5348 without a remainder.
1,2,4,7,14,28,191,382,764,1337,2674,5348
Greatest Common Factor
We found the factors and prime factorization of 5343 and 5348. The biggest common factor number is the GCF number.
So the greatest common factor 5343 and 5348 is 1.
Also check out the Least Common Multiple of 5343 and 5348
(i) The GCF of 5343 and 5348 is associative
GCF of 5343 and 5348 = GCF of 5348 and 5343
1. What is the GCF of 5343 and 5348?
Answer: GCF of 5343 and 5348 is 1.
2. What are the Factors of 5343?
Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.
3. What are the Factors of 5348?
Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.
4. How to Find the GCF of 5343 and 5348?
Answer:
Greatest Common Factor of 5343 and 5348 = 1
Step 1: Find the prime factorization of 5343
5343 = 3 x 13 x 137
Step 2: Find the prime factorization of 5348
5348 = 2 x 2 x 7 x 191
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 5343 and 5348 is 1