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 192, 197 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 192 and 197 is 1.
GCF(192,197) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 192
2 | 192 |
2 | 96 |
2 | 48 |
2 | 24 |
2 | 12 |
2 | 6 |
3 | 3 |
1 |
Prime factors of 192 are 2,3. Prime factorization of 192 in exponential form is:
192 = 26×31
Prime Factorization of 197
197 | 197 |
1 |
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
∴ So by taking common prime factors GCF of 192 and 197 is 1
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors and prime factorization of 192 and 197. The biggest common factor number is the GCF number.
So the greatest common factor 192 and 197 is 1.
Also check out the Least Common Multiple of 192 and 197
(i) The GCF of 192 and 197 is associative
GCF of 192 and 197 = GCF of 197 and 192
1. What is the GCF of 192 and 197?
Answer: GCF of 192 and 197 is 1.
2. What are the Factors of 192?
Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.
3. What are the Factors of 197?
Answer: Factors of 197 are 1, 197. There are 2 integers that are factors of 197. The greatest factor of 197 is 197.
4. How to Find the GCF of 192 and 197?
Answer:
Greatest Common Factor of 192 and 197 = 1
Step 1: Find the prime factorization of 192
192 = 2 x 2 x 2 x 2 x 2 x 2 x 3
Step 2: Find the prime factorization of 197
197 = 197
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 192 and 197 is 1