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 9201, 9205 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9201 and 9205 is 1.
GCF(9201,9205) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9201
3 | 9201 |
3067 | 3067 |
1 |
Prime factors of 9201 are 3,3067. Prime factorization of 9201 in exponential form is:
9201 = 31×30671
Prime Factorization of 9205
5 | 9205 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 9205 are 5,7,263. Prime factorization of 9205 in exponential form is:
9205 = 51×71×2631
∴ So by taking common prime factors GCF of 9201 and 9205 is 1
Factors of 9201
List of positive integer factors of 9201 that divides 9201 without a remainder.
1,3,3067,9201
Factors of 9205
List of positive integer factors of 9205 that divides 9205 without a remainder.
1,5,7,35,263,1315,1841,9205
Greatest Common Factor
We found the factors and prime factorization of 9201 and 9205. The biggest common factor number is the GCF number.
So the greatest common factor 9201 and 9205 is 1.
Also check out the Least Common Multiple of 9201 and 9205
(i) The GCF of 9201 and 9205 is associative
GCF of 9201 and 9205 = GCF of 9205 and 9201
1. What is the GCF of 9201 and 9205?
Answer: GCF of 9201 and 9205 is 1.
2. What are the Factors of 9201?
Answer: Factors of 9201 are 1, 3, 3067, 9201. There are 4 integers that are factors of 9201. The greatest factor of 9201 is 9201.
3. What are the Factors of 9205?
Answer: Factors of 9205 are 1, 5, 7, 35, 263, 1315, 1841, 9205. There are 8 integers that are factors of 9205. The greatest factor of 9205 is 9205.
4. How to Find the GCF of 9201 and 9205?
Answer:
Greatest Common Factor of 9201 and 9205 = 1
Step 1: Find the prime factorization of 9201
9201 = 3 x 3067
Step 2: Find the prime factorization of 9205
9205 = 5 x 7 x 263
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 9201 and 9205 is 1