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 2193, 2201 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2193 and 2201 is 1.
GCF(2193,2201) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2193
3 | 2193 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 2193 are 3,17,43. Prime factorization of 2193 in exponential form is:
2193 = 31×171×431
Prime Factorization of 2201
31 | 2201 |
71 | 71 |
1 |
Prime factors of 2201 are 31,71. Prime factorization of 2201 in exponential form is:
2201 = 311×711
∴ So by taking common prime factors GCF of 2193 and 2201 is 1
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Factors of 2201
List of positive integer factors of 2201 that divides 2201 without a remainder.
1,31,71,2201
Greatest Common Factor
We found the factors and prime factorization of 2193 and 2201. The biggest common factor number is the GCF number.
So the greatest common factor 2193 and 2201 is 1.
Also check out the Least Common Multiple of 2193 and 2201
(i) The GCF of 2193 and 2201 is associative
GCF of 2193 and 2201 = GCF of 2201 and 2193
1. What is the GCF of 2193 and 2201?
Answer: GCF of 2193 and 2201 is 1.
2. What are the Factors of 2193?
Answer: Factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193. There are 8 integers that are factors of 2193. The greatest factor of 2193 is 2193.
3. What are the Factors of 2201?
Answer: Factors of 2201 are 1, 31, 71, 2201. There are 4 integers that are factors of 2201. The greatest factor of 2201 is 2201.
4. How to Find the GCF of 2193 and 2201?
Answer:
Greatest Common Factor of 2193 and 2201 = 1
Step 1: Find the prime factorization of 2193
2193 = 3 x 17 x 43
Step 2: Find the prime factorization of 2201
2201 = 31 x 71
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 2193 and 2201 is 1