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 5349, 5357 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5349 and 5357 is 1.
GCF(5349,5357) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5349
3 | 5349 |
1783 | 1783 |
1 |
Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:
5349 = 31×17831
Prime Factorization of 5357
11 | 5357 |
487 | 487 |
1 |
Prime factors of 5357 are 11,487. Prime factorization of 5357 in exponential form is:
5357 = 111×4871
∴ So by taking common prime factors GCF of 5349 and 5357 is 1
Factors of 5349
List of positive integer factors of 5349 that divides 5349 without a remainder.
1,3,1783,5349
Factors of 5357
List of positive integer factors of 5357 that divides 5357 without a remainder.
1,11,487,5357
Greatest Common Factor
We found the factors and prime factorization of 5349 and 5357. The biggest common factor number is the GCF number.
So the greatest common factor 5349 and 5357 is 1.
Also check out the Least Common Multiple of 5349 and 5357
(i) The GCF of 5349 and 5357 is associative
GCF of 5349 and 5357 = GCF of 5357 and 5349
1. What is the GCF of 5349 and 5357?
Answer: GCF of 5349 and 5357 is 1.
2. What are the Factors of 5349?
Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.
3. What are the Factors of 5357?
Answer: Factors of 5357 are 1, 11, 487, 5357. There are 4 integers that are factors of 5357. The greatest factor of 5357 is 5357.
4. How to Find the GCF of 5349 and 5357?
Answer:
Greatest Common Factor of 5349 and 5357 = 1
Step 1: Find the prime factorization of 5349
5349 = 3 x 1783
Step 2: Find the prime factorization of 5357
5357 = 11 x 487
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 5349 and 5357 is 1