Greatest Common Factor of 3990 and 3998

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

GCF of 3990 and 3998

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3990 and 3998

GCF of 3990 and 3998 is 2

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

Greatest Common Factor of 3990 and 3998 by matching factors method

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

Properties of GCF 3990 and 3998

(i) The GCF of 3990 and 3998 is associative

GCF of 3990 and 3998 = GCF of 3998 and 3990

Related Greatest Common Factor of 3990

Related Greatest Common Factor of 3998

Frequently Asked Questions on GCF of 3990 and 3998

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