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 3195, 3203 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3195 and 3203 is 1.
GCF(3195,3203) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3203
3203 | 3203 |
1 |
Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:
3203 = 32031
∴ So by taking common prime factors GCF of 3195 and 3203 is 1
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
Factors of 3203
List of positive integer factors of 3203 that divides 3203 without a remainder.
1,3203
Greatest Common Factor
We found the factors and prime factorization of 3195 and 3203. The biggest common factor number is the GCF number.
So the greatest common factor 3195 and 3203 is 1.
Also check out the Least Common Multiple of 3195 and 3203
(i) The GCF of 3195 and 3203 is associative
GCF of 3195 and 3203 = GCF of 3203 and 3195
1. What is the GCF of 3195 and 3203?
Answer: GCF of 3195 and 3203 is 1.
2. 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.
3. What are the Factors of 3203?
Answer: Factors of 3203 are 1, 3203. There are 2 integers that are factors of 3203. The greatest factor of 3203 is 3203.
4. How to Find the GCF of 3195 and 3203?
Answer:
Greatest Common Factor of 3195 and 3203 = 1
Step 1: Find the prime factorization of 3195
3195 = 3 x 3 x 5 x 71
Step 2: Find the prime factorization of 3203
3203 = 3203
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 3195 and 3203 is 1