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, 3992 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3988 and 3992 is 4.
GCF(3988,3992) = 4
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 3992
2 | 3992 |
2 | 1996 |
2 | 998 |
499 | 499 |
1 |
Prime factors of 3992 are 2,499. Prime factorization of 3992 in exponential form is:
3992 = 23×4991
∴ So by taking common prime factors GCF of 3988 and 3992 is 4
Factors of 3988
List of positive integer factors of 3988 that divides 3988 without a remainder.
1,2,4,997,1994,3988
Factors of 3992
List of positive integer factors of 3992 that divides 3992 without a remainder.
1,2,4,8,499,998,1996,3992
Greatest Common Factor
We found the factors and prime factorization of 3988 and 3992. The biggest common factor number is the GCF number.
So the greatest common factor 3988 and 3992 is 4.
Also check out the Least Common Multiple of 3988 and 3992
(i) The GCF of 3988 and 3992 is associative
GCF of 3988 and 3992 = GCF of 3992 and 3988
1. What is the GCF of 3988 and 3992?
Answer: GCF of 3988 and 3992 is 4.
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 3992?
Answer: Factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992. There are 8 integers that are factors of 3992. The greatest factor of 3992 is 3992.
4. How to Find the GCF of 3988 and 3992?
Answer:
Greatest Common Factor of 3988 and 3992 = 4
Step 1: Find the prime factorization of 3988
3988 = 2 x 2 x 997
Step 2: Find the prime factorization of 3992
3992 = 2 x 2 x 2 x 499
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 3988 and 3992 is 4