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 3188, 3195 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3188 and 3195 is 1.
GCF(3188,3195) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3195
3 | 3195 |
3 | 1065 |
5 | 355 |
71 | 71 |
1 |
Prime factors of 3195 are 3,5,71. Prime factorization of 3195 in exponential form is:
3195 = 32×51×711
∴ So by taking common prime factors GCF of 3188 and 3195 is 1
Factors of 3188
List of positive integer factors of 3188 that divides 3188 without a remainder.
1,2,4,797,1594,3188
Factors of 3195
List of positive integer factors of 3195 that divides 3195 without a remainder.
1,3,5,9,15,45,71,213,355,639,1065,3195
Greatest Common Factor
We found the factors and prime factorization of 3188 and 3195. The biggest common factor number is the GCF number.
So the greatest common factor 3188 and 3195 is 1.
Also check out the Least Common Multiple of 3188 and 3195
(i) The GCF of 3188 and 3195 is associative
GCF of 3188 and 3195 = GCF of 3195 and 3188
1. What is the GCF of 3188 and 3195?
Answer: GCF of 3188 and 3195 is 1.
2. 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.
3. What are the Factors of 3195?
Answer: Factors of 3195 are 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195. There are 12 integers that are factors of 3195. The greatest factor of 3195 is 3195.
4. How to Find the GCF of 3188 and 3195?
Answer:
Greatest Common Factor of 3188 and 3195 = 1
Step 1: Find the prime factorization of 3188
3188 = 2 x 2 x 797
Step 2: Find the prime factorization of 3195
3195 = 3 x 3 x 5 x 71
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 3188 and 3195 is 1