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 3939, 3941 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3939 and 3941 is 1.
GCF(3939,3941) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3939
3 | 3939 |
13 | 1313 |
101 | 101 |
1 |
Prime factors of 3939 are 3,13,101. Prime factorization of 3939 in exponential form is:
3939 = 31×131×1011
Prime Factorization of 3941
7 | 3941 |
563 | 563 |
1 |
Prime factors of 3941 are 7,563. Prime factorization of 3941 in exponential form is:
3941 = 71×5631
∴ So by taking common prime factors GCF of 3939 and 3941 is 1
Factors of 3939
List of positive integer factors of 3939 that divides 3939 without a remainder.
1,3,13,39,101,303,1313,3939
Factors of 3941
List of positive integer factors of 3941 that divides 3941 without a remainder.
1,7,563,3941
Greatest Common Factor
We found the factors and prime factorization of 3939 and 3941. The biggest common factor number is the GCF number.
So the greatest common factor 3939 and 3941 is 1.
Also check out the Least Common Multiple of 3939 and 3941
(i) The GCF of 3939 and 3941 is associative
GCF of 3939 and 3941 = GCF of 3941 and 3939
1. What is the GCF of 3939 and 3941?
Answer: GCF of 3939 and 3941 is 1.
2. What are the Factors of 3939?
Answer: Factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939. There are 8 integers that are factors of 3939. The greatest factor of 3939 is 3939.
3. What are the Factors of 3941?
Answer: Factors of 3941 are 1, 7, 563, 3941. There are 4 integers that are factors of 3941. The greatest factor of 3941 is 3941.
4. How to Find the GCF of 3939 and 3941?
Answer:
Greatest Common Factor of 3939 and 3941 = 1
Step 1: Find the prime factorization of 3939
3939 = 3 x 13 x 101
Step 2: Find the prime factorization of 3941
3941 = 7 x 563
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 3939 and 3941 is 1