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 3987, 3989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3987 and 3989 is 1.
GCF(3987,3989) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3987
3 | 3987 |
3 | 1329 |
443 | 443 |
1 |
Prime factors of 3987 are 3,443. Prime factorization of 3987 in exponential form is:
3987 = 32×4431
Prime Factorization of 3989
3989 | 3989 |
1 |
Prime factors of 3989 are 3989. Prime factorization of 3989 in exponential form is:
3989 = 39891
∴ So by taking common prime factors GCF of 3987 and 3989 is 1
Factors of 3987
List of positive integer factors of 3987 that divides 3987 without a remainder.
1,3,9,443,1329,3987
Factors of 3989
List of positive integer factors of 3989 that divides 3989 without a remainder.
1,3989
Greatest Common Factor
We found the factors and prime factorization of 3987 and 3989. The biggest common factor number is the GCF number.
So the greatest common factor 3987 and 3989 is 1.
Also check out the Least Common Multiple of 3987 and 3989
(i) The GCF of 3987 and 3989 is associative
GCF of 3987 and 3989 = GCF of 3989 and 3987
1. What is the GCF of 3987 and 3989?
Answer: GCF of 3987 and 3989 is 1.
2. What are the Factors of 3987?
Answer: Factors of 3987 are 1, 3, 9, 443, 1329, 3987. There are 6 integers that are factors of 3987. The greatest factor of 3987 is 3987.
3. What are the Factors of 3989?
Answer: Factors of 3989 are 1, 3989. There are 2 integers that are factors of 3989. The greatest factor of 3989 is 3989.
4. How to Find the GCF of 3987 and 3989?
Answer:
Greatest Common Factor of 3987 and 3989 = 1
Step 1: Find the prime factorization of 3987
3987 = 3 x 3 x 443
Step 2: Find the prime factorization of 3989
3989 = 3989
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 3987 and 3989 is 1