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 3184, 3187 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3184 and 3187 is 1.
GCF(3184,3187) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3184
2 | 3184 |
2 | 1592 |
2 | 796 |
2 | 398 |
199 | 199 |
1 |
Prime factors of 3184 are 2,199. Prime factorization of 3184 in exponential form is:
3184 = 24×1991
Prime Factorization of 3187
3187 | 3187 |
1 |
Prime factors of 3187 are 3187. Prime factorization of 3187 in exponential form is:
3187 = 31871
∴ So by taking common prime factors GCF of 3184 and 3187 is 1
Factors of 3184
List of positive integer factors of 3184 that divides 3184 without a remainder.
1,2,4,8,16,199,398,796,1592,3184
Factors of 3187
List of positive integer factors of 3187 that divides 3187 without a remainder.
1,3187
Greatest Common Factor
We found the factors and prime factorization of 3184 and 3187. The biggest common factor number is the GCF number.
So the greatest common factor 3184 and 3187 is 1.
Also check out the Least Common Multiple of 3184 and 3187
(i) The GCF of 3184 and 3187 is associative
GCF of 3184 and 3187 = GCF of 3187 and 3184
1. What is the GCF of 3184 and 3187?
Answer: GCF of 3184 and 3187 is 1.
2. What are the Factors of 3184?
Answer: Factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184. There are 10 integers that are factors of 3184. The greatest factor of 3184 is 3184.
3. What are the Factors of 3187?
Answer: Factors of 3187 are 1, 3187. There are 2 integers that are factors of 3187. The greatest factor of 3187 is 3187.
4. How to Find the GCF of 3184 and 3187?
Answer:
Greatest Common Factor of 3184 and 3187 = 1
Step 1: Find the prime factorization of 3184
3184 = 2 x 2 x 2 x 2 x 199
Step 2: Find the prime factorization of 3187
3187 = 3187
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 3184 and 3187 is 1