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 3938, 3943 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3938 and 3943 is 1.
GCF(3938,3943) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3938
2 | 3938 |
11 | 1969 |
179 | 179 |
1 |
Prime factors of 3938 are 2,11,179. Prime factorization of 3938 in exponential form is:
3938 = 21×111×1791
Prime Factorization of 3943
3943 | 3943 |
1 |
Prime factors of 3943 are 3943. Prime factorization of 3943 in exponential form is:
3943 = 39431
∴ So by taking common prime factors GCF of 3938 and 3943 is 1
Factors of 3938
List of positive integer factors of 3938 that divides 3938 without a remainder.
1,2,11,22,179,358,1969,3938
Factors of 3943
List of positive integer factors of 3943 that divides 3943 without a remainder.
1,3943
Greatest Common Factor
We found the factors and prime factorization of 3938 and 3943. The biggest common factor number is the GCF number.
So the greatest common factor 3938 and 3943 is 1.
Also check out the Least Common Multiple of 3938 and 3943
(i) The GCF of 3938 and 3943 is associative
GCF of 3938 and 3943 = GCF of 3943 and 3938
1. What is the GCF of 3938 and 3943?
Answer: GCF of 3938 and 3943 is 1.
2. What are the Factors of 3938?
Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.
3. What are the Factors of 3943?
Answer: Factors of 3943 are 1, 3943. There are 2 integers that are factors of 3943. The greatest factor of 3943 is 3943.
4. How to Find the GCF of 3938 and 3943?
Answer:
Greatest Common Factor of 3938 and 3943 = 1
Step 1: Find the prime factorization of 3938
3938 = 2 x 11 x 179
Step 2: Find the prime factorization of 3943
3943 = 3943
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 3938 and 3943 is 1