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 178, 185 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 178 and 185 is 1.
GCF(178,185) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 178
2 | 178 |
89 | 89 |
1 |
Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:
178 = 21×891
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
∴ So by taking common prime factors GCF of 178 and 185 is 1
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors and prime factorization of 178 and 185. The biggest common factor number is the GCF number.
So the greatest common factor 178 and 185 is 1.
Also check out the Least Common Multiple of 178 and 185
(i) The GCF of 178 and 185 is associative
GCF of 178 and 185 = GCF of 185 and 178
1. What is the GCF of 178 and 185?
Answer: GCF of 178 and 185 is 1.
2. What are the Factors of 178?
Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.
3. 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.
4. How to Find the GCF of 178 and 185?
Answer:
Greatest Common Factor of 178 and 185 = 1
Step 1: Find the prime factorization of 178
178 = 2 x 89
Step 2: Find the prime factorization of 185
185 = 5 x 37
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 178 and 185 is 1