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 9196, 9197 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9196 and 9197 is 1.
GCF(9196,9197) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9196
2 | 9196 |
2 | 4598 |
11 | 2299 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 9196 are 2,11,19. Prime factorization of 9196 in exponential form is:
9196 = 22×112×191
Prime Factorization of 9197
17 | 9197 |
541 | 541 |
1 |
Prime factors of 9197 are 17,541. Prime factorization of 9197 in exponential form is:
9197 = 171×5411
∴ So by taking common prime factors GCF of 9196 and 9197 is 1
Factors of 9196
List of positive integer factors of 9196 that divides 9196 without a remainder.
1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196
Factors of 9197
List of positive integer factors of 9197 that divides 9197 without a remainder.
1,17,541,9197
Greatest Common Factor
We found the factors and prime factorization of 9196 and 9197. The biggest common factor number is the GCF number.
So the greatest common factor 9196 and 9197 is 1.
Also check out the Least Common Multiple of 9196 and 9197
(i) The GCF of 9196 and 9197 is associative
GCF of 9196 and 9197 = GCF of 9197 and 9196
1. What is the GCF of 9196 and 9197?
Answer: GCF of 9196 and 9197 is 1.
2. What are the Factors of 9196?
Answer: Factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196. There are 18 integers that are factors of 9196. The greatest factor of 9196 is 9196.
3. What are the Factors of 9197?
Answer: Factors of 9197 are 1, 17, 541, 9197. There are 4 integers that are factors of 9197. The greatest factor of 9197 is 9197.
4. How to Find the GCF of 9196 and 9197?
Answer:
Greatest Common Factor of 9196 and 9197 = 1
Step 1: Find the prime factorization of 9196
9196 = 2 x 2 x 11 x 11 x 19
Step 2: Find the prime factorization of 9197
9197 = 17 x 541
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 9196 and 9197 is 1