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 3145, 3148 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3145 and 3148 is 1.
GCF(3145,3148) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3145
5 | 3145 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 3145 are 5,17,37. Prime factorization of 3145 in exponential form is:
3145 = 51×171×371
Prime Factorization of 3148
2 | 3148 |
2 | 1574 |
787 | 787 |
1 |
Prime factors of 3148 are 2,787. Prime factorization of 3148 in exponential form is:
3148 = 22×7871
∴ So by taking common prime factors GCF of 3145 and 3148 is 1
Factors of 3145
List of positive integer factors of 3145 that divides 3145 without a remainder.
1,5,17,37,85,185,629,3145
Factors of 3148
List of positive integer factors of 3148 that divides 3148 without a remainder.
1,2,4,787,1574,3148
Greatest Common Factor
We found the factors and prime factorization of 3145 and 3148. The biggest common factor number is the GCF number.
So the greatest common factor 3145 and 3148 is 1.
Also check out the Least Common Multiple of 3145 and 3148
(i) The GCF of 3145 and 3148 is associative
GCF of 3145 and 3148 = GCF of 3148 and 3145
1. What is the GCF of 3145 and 3148?
Answer: GCF of 3145 and 3148 is 1.
2. What are the Factors of 3145?
Answer: Factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145. There are 8 integers that are factors of 3145. The greatest factor of 3145 is 3145.
3. What are the Factors of 3148?
Answer: Factors of 3148 are 1, 2, 4, 787, 1574, 3148. There are 6 integers that are factors of 3148. The greatest factor of 3148 is 3148.
4. How to Find the GCF of 3145 and 3148?
Answer:
Greatest Common Factor of 3145 and 3148 = 1
Step 1: Find the prime factorization of 3145
3145 = 5 x 17 x 37
Step 2: Find the prime factorization of 3148
3148 = 2 x 2 x 787
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 3145 and 3148 is 1