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 185, 192 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 185 and 192 is 1.
GCF(185,192) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 185
5 | 185 |
37 | 37 |
1 |
Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:
185 = 51×371
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
∴ So by taking common prime factors GCF of 185 and 192 is 1
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
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
Greatest Common Factor
We found the factors and prime factorization of 185 and 192. The biggest common factor number is the GCF number.
So the greatest common factor 185 and 192 is 1.
Also check out the Least Common Multiple of 185 and 192
(i) The GCF of 185 and 192 is associative
GCF of 185 and 192 = GCF of 192 and 185
1. What is the GCF of 185 and 192?
Answer: GCF of 185 and 192 is 1.
2. What are the Factors of 185?
Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.
3. 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.
4. How to Find the GCF of 185 and 192?
Answer:
Greatest Common Factor of 185 and 192 = 1
Step 1: Find the prime factorization of 185
185 = 5 x 37
Step 2: Find the prime factorization of 192
192 = 2 x 2 x 2 x 2 x 2 x 2 x 3
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 185 and 192 is 1