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 9261, 9263 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9261 and 9263 is 1.
GCF(9261,9263) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9261
3 | 9261 |
3 | 3087 |
3 | 1029 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:
9261 = 33×73
Prime Factorization of 9263
59 | 9263 |
157 | 157 |
1 |
Prime factors of 9263 are 59,157. Prime factorization of 9263 in exponential form is:
9263 = 591×1571
∴ So by taking common prime factors GCF of 9261 and 9263 is 1
Factors of 9261
List of positive integer factors of 9261 that divides 9261 without a remainder.
1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Factors of 9263
List of positive integer factors of 9263 that divides 9263 without a remainder.
1,59,157,9263
Greatest Common Factor
We found the factors and prime factorization of 9261 and 9263. The biggest common factor number is the GCF number.
So the greatest common factor 9261 and 9263 is 1.
Also check out the Least Common Multiple of 9261 and 9263
(i) The GCF of 9261 and 9263 is associative
GCF of 9261 and 9263 = GCF of 9263 and 9261
1. What is the GCF of 9261 and 9263?
Answer: GCF of 9261 and 9263 is 1.
2. What are the Factors of 9261?
Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.
3. What are the Factors of 9263?
Answer: Factors of 9263 are 1, 59, 157, 9263. There are 4 integers that are factors of 9263. The greatest factor of 9263 is 9263.
4. How to Find the GCF of 9261 and 9263?
Answer:
Greatest Common Factor of 9261 and 9263 = 1
Step 1: Find the prime factorization of 9261
9261 = 3 x 3 x 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 9263
9263 = 59 x 157
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 9261 and 9263 is 1