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 5361, 5363 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5361 and 5363 is 1.
GCF(5361,5363) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5361
3 | 5361 |
1787 | 1787 |
1 |
Prime factors of 5361 are 3,1787. Prime factorization of 5361 in exponential form is:
5361 = 31×17871
Prime Factorization of 5363
31 | 5363 |
173 | 173 |
1 |
Prime factors of 5363 are 31,173. Prime factorization of 5363 in exponential form is:
5363 = 311×1731
∴ So by taking common prime factors GCF of 5361 and 5363 is 1
Factors of 5361
List of positive integer factors of 5361 that divides 5361 without a remainder.
1,3,1787,5361
Factors of 5363
List of positive integer factors of 5363 that divides 5363 without a remainder.
1,31,173,5363
Greatest Common Factor
We found the factors and prime factorization of 5361 and 5363. The biggest common factor number is the GCF number.
So the greatest common factor 5361 and 5363 is 1.
Also check out the Least Common Multiple of 5361 and 5363
(i) The GCF of 5361 and 5363 is associative
GCF of 5361 and 5363 = GCF of 5363 and 5361
1. What is the GCF of 5361 and 5363?
Answer: GCF of 5361 and 5363 is 1.
2. What are the Factors of 5361?
Answer: Factors of 5361 are 1, 3, 1787, 5361. There are 4 integers that are factors of 5361. The greatest factor of 5361 is 5361.
3. What are the Factors of 5363?
Answer: Factors of 5363 are 1, 31, 173, 5363. There are 4 integers that are factors of 5363. The greatest factor of 5363 is 5363.
4. How to Find the GCF of 5361 and 5363?
Answer:
Greatest Common Factor of 5361 and 5363 = 1
Step 1: Find the prime factorization of 5361
5361 = 3 x 1787
Step 2: Find the prime factorization of 5363
5363 = 31 x 173
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 5361 and 5363 is 1