Greatest Common Factor of 3987 and 3991

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 3987, 3991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3987 and 3991 is 1.

GCF(3987,3991) = 1

GCF of 3987 and 3991

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

GCF of:
and

Greatest Common Factor of 3987 and 3991

GCF of 3987 and 3991 is 1

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

Prime Factorization of 3991


13 3991
307 307
1

Prime factors of 3991 are 13,307. Prime factorization of 3991 in exponential form is:

3991 = 131×3071

∴ So by taking common prime factors GCF of 3987 and 3991 is 1

Greatest Common Factor of 3987 and 3991 by matching factors method

Factors of 3987

List of positive integer factors of 3987 that divides 3987 without a remainder.

1,3,9,443,1329,3987

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Greatest Common Factor

We found the factors and prime factorization of 3987 and 3991. The biggest common factor number is the GCF number.
So the greatest common factor 3987 and 3991 is 1.

Also check out the Least Common Multiple of 3987 and 3991

Properties of GCF 3987 and 3991

(i) The GCF of 3987 and 3991 is associative

GCF of 3987 and 3991 = GCF of 3991 and 3987

Related Greatest Common Factor of 3987

Related Greatest Common Factor of 3991

Frequently Asked Questions on GCF of 3987 and 3991

1. What is the GCF of 3987 and 3991?

Answer: GCF of 3987 and 3991 is 1.

2. 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.

3. What are the Factors of 3991?

Answer: Factors of 3991 are 1, 13, 307, 3991. There are 4 integers that are factors of 3991. The greatest factor of 3991 is 3991.

4. How to Find the GCF of 3987 and 3991?

Answer:

Greatest Common Factor of 3987 and 3991 = 1

Step 1: Find the prime factorization of 3987

3987 = 3 x 3 x 443

Step 2: Find the prime factorization of 3991

3991 = 13 x 307

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 3987 and 3991 is 1