Greatest Common Factor of 3990 and 3997

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, 3997 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3990 and 3997 is 7.

GCF(3990,3997) = 7

GCF of 3990 and 3997

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

GCF of:
and

Greatest Common Factor of 3990 and 3997

GCF of 3990 and 3997 is 7

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 3997


7 3997
571 571
1

Prime factors of 3997 are 7,571. Prime factorization of 3997 in exponential form is:

3997 = 71×5711

∴ So by taking common prime factors GCF of 3990 and 3997 is 7

Greatest Common Factor of 3990 and 3997 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 3997

List of positive integer factors of 3997 that divides 3997 without a remainder.

1,7,571,3997

Greatest Common Factor

We found the factors and prime factorization of 3990 and 3997. The biggest common factor number is the GCF number.
So the greatest common factor 3990 and 3997 is 7.

Also check out the Least Common Multiple of 3990 and 3997

Properties of GCF 3990 and 3997

(i) The GCF of 3990 and 3997 is associative

GCF of 3990 and 3997 = GCF of 3997 and 3990

Related Greatest Common Factor of 3990

Related Greatest Common Factor of 3997

Frequently Asked Questions on GCF of 3990 and 3997

1. What is the GCF of 3990 and 3997?

Answer: GCF of 3990 and 3997 is 7.

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 3997?

Answer: Factors of 3997 are 1, 7, 571, 3997. There are 4 integers that are factors of 3997. The greatest factor of 3997 is 3997.

4. How to Find the GCF of 3990 and 3997?

Answer:

Greatest Common Factor of 3990 and 3997 = 7

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 3997

3997 = 7 x 571

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3990 and 3997 is 7