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 9207, 9211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9207 and 9211 is 1.
GCF(9207,9211) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9207
3 | 9207 |
3 | 3069 |
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 9207 are 3,11,31. Prime factorization of 9207 in exponential form is:
9207 = 33×111×311
Prime Factorization of 9211
61 | 9211 |
151 | 151 |
1 |
Prime factors of 9211 are 61,151. Prime factorization of 9211 in exponential form is:
9211 = 611×1511
∴ So by taking common prime factors GCF of 9207 and 9211 is 1
Factors of 9207
List of positive integer factors of 9207 that divides 9207 without a remainder.
1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Factors of 9211
List of positive integer factors of 9211 that divides 9211 without a remainder.
1,61,151,9211
Greatest Common Factor
We found the factors and prime factorization of 9207 and 9211. The biggest common factor number is the GCF number.
So the greatest common factor 9207 and 9211 is 1.
Also check out the Least Common Multiple of 9207 and 9211
(i) The GCF of 9207 and 9211 is associative
GCF of 9207 and 9211 = GCF of 9211 and 9207
1. What is the GCF of 9207 and 9211?
Answer: GCF of 9207 and 9211 is 1.
2. What are the Factors of 9207?
Answer: Factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207. There are 16 integers that are factors of 9207. The greatest factor of 9207 is 9207.
3. What are the Factors of 9211?
Answer: Factors of 9211 are 1, 61, 151, 9211. There are 4 integers that are factors of 9211. The greatest factor of 9211 is 9211.
4. How to Find the GCF of 9207 and 9211?
Answer:
Greatest Common Factor of 9207 and 9211 = 1
Step 1: Find the prime factorization of 9207
9207 = 3 x 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 9211
9211 = 61 x 151
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 9207 and 9211 is 1