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 3995, 3998 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3995 and 3998 is 1.
GCF(3995,3998) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3995
5 | 3995 |
17 | 799 |
47 | 47 |
1 |
Prime factors of 3995 are 5,17,47. Prime factorization of 3995 in exponential form is:
3995 = 51×171×471
Prime Factorization of 3998
2 | 3998 |
1999 | 1999 |
1 |
Prime factors of 3998 are 2,1999. Prime factorization of 3998 in exponential form is:
3998 = 21×19991
∴ So by taking common prime factors GCF of 3995 and 3998 is 1
Factors of 3995
List of positive integer factors of 3995 that divides 3995 without a remainder.
1,5,17,47,85,235,799,3995
Factors of 3998
List of positive integer factors of 3998 that divides 3998 without a remainder.
1,2,1999,3998
Greatest Common Factor
We found the factors and prime factorization of 3995 and 3998. The biggest common factor number is the GCF number.
So the greatest common factor 3995 and 3998 is 1.
Also check out the Least Common Multiple of 3995 and 3998
(i) The GCF of 3995 and 3998 is associative
GCF of 3995 and 3998 = GCF of 3998 and 3995
1. What is the GCF of 3995 and 3998?
Answer: GCF of 3995 and 3998 is 1.
2. What are the Factors of 3995?
Answer: Factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995. There are 8 integers that are factors of 3995. The greatest factor of 3995 is 3995.
3. What are the Factors of 3998?
Answer: Factors of 3998 are 1, 2, 1999, 3998. There are 4 integers that are factors of 3998. The greatest factor of 3998 is 3998.
4. How to Find the GCF of 3995 and 3998?
Answer:
Greatest Common Factor of 3995 and 3998 = 1
Step 1: Find the prime factorization of 3995
3995 = 5 x 17 x 47
Step 2: Find the prime factorization of 3998
3998 = 2 x 1999
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 3995 and 3998 is 1