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 3979, 3987 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3979 and 3987 is 1.
GCF(3979,3987) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3979
23 | 3979 |
173 | 173 |
1 |
Prime factors of 3979 are 23,173. Prime factorization of 3979 in exponential form is:
3979 = 231×1731
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
∴ So by taking common prime factors GCF of 3979 and 3987 is 1
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1,23,173,3979
Factors of 3987
List of positive integer factors of 3987 that divides 3987 without a remainder.
1,3,9,443,1329,3987
Greatest Common Factor
We found the factors and prime factorization of 3979 and 3987. The biggest common factor number is the GCF number.
So the greatest common factor 3979 and 3987 is 1.
Also check out the Least Common Multiple of 3979 and 3987
(i) The GCF of 3979 and 3987 is associative
GCF of 3979 and 3987 = GCF of 3987 and 3979
1. What is the GCF of 3979 and 3987?
Answer: GCF of 3979 and 3987 is 1.
2. What are the Factors of 3979?
Answer: Factors of 3979 are 1, 23, 173, 3979. There are 4 integers that are factors of 3979. The greatest factor of 3979 is 3979.
3. 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.
4. How to Find the GCF of 3979 and 3987?
Answer:
Greatest Common Factor of 3979 and 3987 = 1
Step 1: Find the prime factorization of 3979
3979 = 23 x 173
Step 2: Find the prime factorization of 3987
3987 = 3 x 3 x 443
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 3979 and 3987 is 1