Greatest Common Factor of 3988 and 3995

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 3988, 3995 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3988 and 3995 is 1.

GCF(3988,3995) = 1

GCF of 3988 and 3995

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

GCF of:
and

Greatest Common Factor of 3988 and 3995

GCF of 3988 and 3995 is 1

Prime Factorization of 3988


2 3988
2 1994
997 997
1

Prime factors of 3988 are 2,997. Prime factorization of 3988 in exponential form is:

3988 = 22×9971

Prime Factorization of 3995


5 3995
17 799
47 47
1

Prime factors of 3995 are 5,17,47. Prime factorization of 3995 in exponential form is:

3995 = 51×171×471

∴ So by taking common prime factors GCF of 3988 and 3995 is 1

Greatest Common Factor of 3988 and 3995 by matching factors method

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1,2,4,997,1994,3988

Factors of 3995

List of positive integer factors of 3995 that divides 3995 without a remainder.

1,5,17,47,85,235,799,3995

Greatest Common Factor

We found the factors and prime factorization of 3988 and 3995. The biggest common factor number is the GCF number.
So the greatest common factor 3988 and 3995 is 1.

Also check out the Least Common Multiple of 3988 and 3995

Properties of GCF 3988 and 3995

(i) The GCF of 3988 and 3995 is associative

GCF of 3988 and 3995 = GCF of 3995 and 3988

Related Greatest Common Factor of 3988

Related Greatest Common Factor of 3995

Frequently Asked Questions on GCF of 3988 and 3995

1. What is the GCF of 3988 and 3995?

Answer: GCF of 3988 and 3995 is 1.

2. What are the Factors of 3988?

Answer: Factors of 3988 are 1, 2, 4, 997, 1994, 3988. There are 6 integers that are factors of 3988. The greatest factor of 3988 is 3988.

3. What are the Factors of 3995?

Answer: Factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995. There are 8 integers that are factors of 3995. The greatest factor of 3995 is 3995.

4. How to Find the GCF of 3988 and 3995?

Answer:

Greatest Common Factor of 3988 and 3995 = 1

Step 1: Find the prime factorization of 3988

3988 = 2 x 2 x 997

Step 2: Find the prime factorization of 3995

3995 = 5 x 17 x 47

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 3988 and 3995 is 1