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 3170, 3178 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3170 and 3178 is 2.
GCF(3170,3178) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3170
2 | 3170 |
5 | 1585 |
317 | 317 |
1 |
Prime factors of 3170 are 2,5,317. Prime factorization of 3170 in exponential form is:
3170 = 21×51×3171
Prime Factorization of 3178
2 | 3178 |
7 | 1589 |
227 | 227 |
1 |
Prime factors of 3178 are 2,7,227. Prime factorization of 3178 in exponential form is:
3178 = 21×71×2271
∴ So by taking common prime factors GCF of 3170 and 3178 is 2
Factors of 3170
List of positive integer factors of 3170 that divides 3170 without a remainder.
1,2,5,10,317,634,1585,3170
Factors of 3178
List of positive integer factors of 3178 that divides 3178 without a remainder.
1,2,7,14,227,454,1589,3178
Greatest Common Factor
We found the factors and prime factorization of 3170 and 3178. The biggest common factor number is the GCF number.
So the greatest common factor 3170 and 3178 is 2.
Also check out the Least Common Multiple of 3170 and 3178
(i) The GCF of 3170 and 3178 is associative
GCF of 3170 and 3178 = GCF of 3178 and 3170
1. What is the GCF of 3170 and 3178?
Answer: GCF of 3170 and 3178 is 2.
2. What are the Factors of 3170?
Answer: Factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170. There are 8 integers that are factors of 3170. The greatest factor of 3170 is 3170.
3. What are the Factors of 3178?
Answer: Factors of 3178 are 1, 2, 7, 14, 227, 454, 1589, 3178. There are 8 integers that are factors of 3178. The greatest factor of 3178 is 3178.
4. How to Find the GCF of 3170 and 3178?
Answer:
Greatest Common Factor of 3170 and 3178 = 2
Step 1: Find the prime factorization of 3170
3170 = 2 x 5 x 317
Step 2: Find the prime factorization of 3178
3178 = 2 x 7 x 227
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3170 and 3178 is 2