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 5193, 5201 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5193 and 5201 is 1.
GCF(5193,5201) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5193
3 | 5193 |
3 | 1731 |
577 | 577 |
1 |
Prime factors of 5193 are 3,577. Prime factorization of 5193 in exponential form is:
5193 = 32×5771
Prime Factorization of 5201
7 | 5201 |
743 | 743 |
1 |
Prime factors of 5201 are 7,743. Prime factorization of 5201 in exponential form is:
5201 = 71×7431
∴ So by taking common prime factors GCF of 5193 and 5201 is 1
Factors of 5193
List of positive integer factors of 5193 that divides 5193 without a remainder.
1,3,9,577,1731,5193
Factors of 5201
List of positive integer factors of 5201 that divides 5201 without a remainder.
1,7,743,5201
Greatest Common Factor
We found the factors and prime factorization of 5193 and 5201. The biggest common factor number is the GCF number.
So the greatest common factor 5193 and 5201 is 1.
Also check out the Least Common Multiple of 5193 and 5201
(i) The GCF of 5193 and 5201 is associative
GCF of 5193 and 5201 = GCF of 5201 and 5193
1. What is the GCF of 5193 and 5201?
Answer: GCF of 5193 and 5201 is 1.
2. What are the Factors of 5193?
Answer: Factors of 5193 are 1, 3, 9, 577, 1731, 5193. There are 6 integers that are factors of 5193. The greatest factor of 5193 is 5193.
3. What are the Factors of 5201?
Answer: Factors of 5201 are 1, 7, 743, 5201. There are 4 integers that are factors of 5201. The greatest factor of 5201 is 5201.
4. How to Find the GCF of 5193 and 5201?
Answer:
Greatest Common Factor of 5193 and 5201 = 1
Step 1: Find the prime factorization of 5193
5193 = 3 x 3 x 577
Step 2: Find the prime factorization of 5201
5201 = 7 x 743
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 5193 and 5201 is 1