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 3990, 3998 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3990 and 3998 is 2.
GCF(3990,3998) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3990
2 | 3990 |
3 | 1995 |
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 3990 are 2,3,5,7,19. Prime factorization of 3990 in exponential form is:
3990 = 21×31×51×71×191
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 3990 and 3998 is 2
Factors of 3990
List of positive integer factors of 3990 that divides 3990 without a remainder.
1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
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 3990 and 3998. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 3998 is 2.
Also check out the Least Common Multiple of 3990 and 3998
(i) The GCF of 3990 and 3998 is associative
GCF of 3990 and 3998 = GCF of 3998 and 3990
1. What is the GCF of 3990 and 3998?
Answer: GCF of 3990 and 3998 is 2.
2. What are the Factors of 3990?
Answer: Factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. There are 32 integers that are factors of 3990. The greatest factor of 3990 is 3990.
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 3990 and 3998?
Answer:
Greatest Common Factor of 3990 and 3998 = 2
Step 1: Find the prime factorization of 3990
3990 = 2 x 3 x 5 x 7 x 19
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 = 2
Step 4: Therefore, the greatest common factor of 3990 and 3998 is 2