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 3988, 3991 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3988 and 3991 is 1.
GCF(3988,3991) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3988
2 | 3988 |
2 | 1994 |
997 | 997 |
1 |
Prime factors of 3988 are 2,997. Prime factorization of 3988 in exponential form is:
3988 = 22×9971
Prime Factorization of 3991
13 | 3991 |
307 | 307 |
1 |
Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:
3991 = 131×3071
∴ So by taking common prime factors GCF of 3988 and 3991 is 1
Factors of 3988
List of positive integer factors of 3988 that divides 3988 without a remainder.
1,2,4,997,1994,3988
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1,13,307,3991
Greatest Common Factor
We found the factors and prime factorization of 3988 and 3991. The biggest common factor number is the GCF number.
So the greatest common factor 3988 and 3991 is 1.
Also check out the Least Common Multiple of 3988 and 3991
(i) The GCF of 3988 and 3991 is associative
GCF of 3988 and 3991 = GCF of 3991 and 3988
1. What is the GCF of 3988 and 3991?
Answer: GCF of 3988 and 3991 is 1.
2. What are the Factors of 3988?
Answer: Factors of 3988 are 1, 2, 4, 997, 1994, 3988. There are 6 integers that are factors of 3988. The greatest factor of 3988 is 3988.
3. What are the Factors of 3991?
Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.
4. How to Find the GCF of 3988 and 3991?
Answer:
Greatest Common Factor of 3988 and 3991 = 1
Step 1: Find the prime factorization of 3988
3988 = 2 x 2 x 997
Step 2: Find the prime factorization of 3991
3991 = 13 x 307
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 3988 and 3991 is 1