Greatest Common Factor of 3980 and 3987

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 3980, 3987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3980 and 3987 is 1.

GCF(3980,3987) = 1

GCF of 3980 and 3987

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

GCF of:
and

Greatest Common Factor of 3980 and 3987

GCF of 3980 and 3987 is 1

Prime Factorization of 3980


2 3980
2 1990
5 995
199 199
1

Prime factors of 3980 are 2,5,199. Prime factorization of 3980 in exponential form is:

3980 = 22×51×1991

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

∴ So by taking common prime factors GCF of 3980 and 3987 is 1

Greatest Common Factor of 3980 and 3987 by matching factors method

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Factors of 3987

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

1,3,9,443,1329,3987

Greatest Common Factor

We found the factors and prime factorization of 3980 and 3987. The biggest common factor number is the GCF number.
So the greatest common factor 3980 and 3987 is 1.

Also check out the Least Common Multiple of 3980 and 3987

Properties of GCF 3980 and 3987

(i) The GCF of 3980 and 3987 is associative

GCF of 3980 and 3987 = GCF of 3987 and 3980

Related Greatest Common Factor of 3980

Related Greatest Common Factor of 3987

Frequently Asked Questions on GCF of 3980 and 3987

1. What is the GCF of 3980 and 3987?

Answer: GCF of 3980 and 3987 is 1.

2. What are the Factors of 3980?

Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.

3. 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.

4. How to Find the GCF of 3980 and 3987?

Answer:

Greatest Common Factor of 3980 and 3987 = 1

Step 1: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 3987

3987 = 3 x 3 x 443

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 3980 and 3987 is 1