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 3182, 3188 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3182 and 3188 is 2.
GCF(3182,3188) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3182
2 | 3182 |
37 | 1591 |
43 | 43 |
1 |
Prime factors of 3182 are 2,37,43. Prime factorization of 3182 in exponential form is:
3182 = 21×371×431
Prime Factorization of 3188
2 | 3188 |
2 | 1594 |
797 | 797 |
1 |
Prime factors of 3188 are 2,797. Prime factorization of 3188 in exponential form is:
3188 = 22×7971
∴ So by taking common prime factors GCF of 3182 and 3188 is 2
Factors of 3182
List of positive integer factors of 3182 that divides 3182 without a remainder.
1,2,37,43,74,86,1591,3182
Factors of 3188
List of positive integer factors of 3188 that divides 3188 without a remainder.
1,2,4,797,1594,3188
Greatest Common Factor
We found the factors and prime factorization of 3182 and 3188. The biggest common factor number is the GCF number.
So the greatest common factor 3182 and 3188 is 2.
Also check out the Least Common Multiple of 3182 and 3188
(i) The GCF of 3182 and 3188 is associative
GCF of 3182 and 3188 = GCF of 3188 and 3182
1. What is the GCF of 3182 and 3188?
Answer: GCF of 3182 and 3188 is 2.
2. What are the Factors of 3182?
Answer: Factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182. There are 8 integers that are factors of 3182. The greatest factor of 3182 is 3182.
3. What are the Factors of 3188?
Answer: Factors of 3188 are 1, 2, 4, 797, 1594, 3188. There are 6 integers that are factors of 3188. The greatest factor of 3188 is 3188.
4. How to Find the GCF of 3182 and 3188?
Answer:
Greatest Common Factor of 3182 and 3188 = 2
Step 1: Find the prime factorization of 3182
3182 = 2 x 37 x 43
Step 2: Find the prime factorization of 3188
3188 = 2 x 2 x 797
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 3182 and 3188 is 2