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 3189, 3197 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3189 and 3197 is 1.
GCF(3189,3197) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3189
3 | 3189 |
1063 | 1063 |
1 |
Prime factors of 3189 are 3,1063. Prime factorization of 3189 in exponential form is:
3189 = 31×10631
Prime Factorization of 3197
23 | 3197 |
139 | 139 |
1 |
Prime factors of 3197 are 23,139. Prime factorization of 3197 in exponential form is:
3197 = 231×1391
∴ So by taking common prime factors GCF of 3189 and 3197 is 1
Factors of 3189
List of positive integer factors of 3189 that divides 3189 without a remainder.
1,3,1063,3189
Factors of 3197
List of positive integer factors of 3197 that divides 3197 without a remainder.
1,23,139,3197
Greatest Common Factor
We found the factors and prime factorization of 3189 and 3197. The biggest common factor number is the GCF number.
So the greatest common factor 3189 and 3197 is 1.
Also check out the Least Common Multiple of 3189 and 3197
(i) The GCF of 3189 and 3197 is associative
GCF of 3189 and 3197 = GCF of 3197 and 3189
1. What is the GCF of 3189 and 3197?
Answer: GCF of 3189 and 3197 is 1.
2. What are the Factors of 3189?
Answer: Factors of 3189 are 1, 3, 1063, 3189. There are 4 integers that are factors of 3189. The greatest factor of 3189 is 3189.
3. What are the Factors of 3197?
Answer: Factors of 3197 are 1, 23, 139, 3197. There are 4 integers that are factors of 3197. The greatest factor of 3197 is 3197.
4. How to Find the GCF of 3189 and 3197?
Answer:
Greatest Common Factor of 3189 and 3197 = 1
Step 1: Find the prime factorization of 3189
3189 = 3 x 1063
Step 2: Find the prime factorization of 3197
3197 = 23 x 139
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 3189 and 3197 is 1