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 3149, 3156 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3149 and 3156 is 1.
GCF(3149,3156) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3149
47 | 3149 |
67 | 67 |
1 |
Prime factors of 3149 are 47,67. Prime factorization of 3149 in exponential form is:
3149 = 471×671
Prime Factorization of 3156
2 | 3156 |
2 | 1578 |
3 | 789 |
263 | 263 |
1 |
Prime factors of 3156 are 2,3,263. Prime factorization of 3156 in exponential form is:
3156 = 22×31×2631
∴ So by taking common prime factors GCF of 3149 and 3156 is 1
Factors of 3149
List of positive integer factors of 3149 that divides 3149 without a remainder.
1,47,67,3149
Factors of 3156
List of positive integer factors of 3156 that divides 3156 without a remainder.
1,2,3,4,6,12,263,526,789,1052,1578,3156
Greatest Common Factor
We found the factors and prime factorization of 3149 and 3156. The biggest common factor number is the GCF number.
So the greatest common factor 3149 and 3156 is 1.
Also check out the Least Common Multiple of 3149 and 3156
(i) The GCF of 3149 and 3156 is associative
GCF of 3149 and 3156 = GCF of 3156 and 3149
1. What is the GCF of 3149 and 3156?
Answer: GCF of 3149 and 3156 is 1.
2. What are the Factors of 3149?
Answer: Factors of 3149 are 1, 47, 67, 3149. There are 4 integers that are factors of 3149. The greatest factor of 3149 is 3149.
3. What are the Factors of 3156?
Answer: Factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156. There are 12 integers that are factors of 3156. The greatest factor of 3156 is 3156.
4. How to Find the GCF of 3149 and 3156?
Answer:
Greatest Common Factor of 3149 and 3156 = 1
Step 1: Find the prime factorization of 3149
3149 = 47 x 67
Step 2: Find the prime factorization of 3156
3156 = 2 x 2 x 3 x 263
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 3149 and 3156 is 1