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 3955, 3958 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3955 and 3958 is 1.
GCF(3955,3958) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3955
5 | 3955 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 3955 are 5,7,113. Prime factorization of 3955 in exponential form is:
3955 = 51×71×1131
Prime Factorization of 3958
2 | 3958 |
1979 | 1979 |
1 |
Prime factors of 3958 are 2,1979. Prime factorization of 3958 in exponential form is:
3958 = 21×19791
∴ So by taking common prime factors GCF of 3955 and 3958 is 1
Factors of 3955
List of positive integer factors of 3955 that divides 3955 without a remainder.
1,5,7,35,113,565,791,3955
Factors of 3958
List of positive integer factors of 3958 that divides 3958 without a remainder.
1,2,1979,3958
Greatest Common Factor
We found the factors and prime factorization of 3955 and 3958. The biggest common factor number is the GCF number.
So the greatest common factor 3955 and 3958 is 1.
Also check out the Least Common Multiple of 3955 and 3958
(i) The GCF of 3955 and 3958 is associative
GCF of 3955 and 3958 = GCF of 3958 and 3955
1. What is the GCF of 3955 and 3958?
Answer: GCF of 3955 and 3958 is 1.
2. What are the Factors of 3955?
Answer: Factors of 3955 are 1, 5, 7, 35, 113, 565, 791, 3955. There are 8 integers that are factors of 3955. The greatest factor of 3955 is 3955.
3. What are the Factors of 3958?
Answer: Factors of 3958 are 1, 2, 1979, 3958. There are 4 integers that are factors of 3958. The greatest factor of 3958 is 3958.
4. How to Find the GCF of 3955 and 3958?
Answer:
Greatest Common Factor of 3955 and 3958 = 1
Step 1: Find the prime factorization of 3955
3955 = 5 x 7 x 113
Step 2: Find the prime factorization of 3958
3958 = 2 x 1979
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 3955 and 3958 is 1