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 3946, 3947 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3946 and 3947 is 1.
GCF(3946,3947) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3946
2 | 3946 |
1973 | 1973 |
1 |
Prime factors of 3946 are 2,1973. Prime factorization of 3946 in exponential form is:
3946 = 21×19731
Prime Factorization of 3947
3947 | 3947 |
1 |
Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:
3947 = 39471
∴ So by taking common prime factors GCF of 3946 and 3947 is 1
Factors of 3946
List of positive integer factors of 3946 that divides 3946 without a remainder.
1,2,1973,3946
Factors of 3947
List of positive integer factors of 3947 that divides 3947 without a remainder.
1,3947
Greatest Common Factor
We found the factors and prime factorization of 3946 and 3947. The biggest common factor number is the GCF number.
So the greatest common factor 3946 and 3947 is 1.
Also check out the Least Common Multiple of 3946 and 3947
(i) The GCF of 3946 and 3947 is associative
GCF of 3946 and 3947 = GCF of 3947 and 3946
1. What is the GCF of 3946 and 3947?
Answer: GCF of 3946 and 3947 is 1.
2. What are the Factors of 3946?
Answer: Factors of 3946 are 1, 2, 1973, 3946. There are 4 integers that are factors of 3946. The greatest factor of 3946 is 3946.
3. What are the Factors of 3947?
Answer: Factors of 3947 are 1, 3947. There are 2 integers that are factors of 3947. The greatest factor of 3947 is 3947.
4. How to Find the GCF of 3946 and 3947?
Answer:
Greatest Common Factor of 3946 and 3947 = 1
Step 1: Find the prime factorization of 3946
3946 = 2 x 1973
Step 2: Find the prime factorization of 3947
3947 = 3947
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 3946 and 3947 is 1