Greatest Common Factor of 3980 and 3986

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, 3986 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3980 and 3986 is 2.

GCF(3980,3986) = 2

GCF of 3980 and 3986

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

GCF of:
and

Greatest Common Factor of 3980 and 3986

GCF of 3980 and 3986 is 2

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 3986


2 3986
1993 1993
1

Prime factors of 3986 are 2,1993. Prime factorization of 3986 in exponential form is:

3986 = 21×19931

∴ So by taking common prime factors GCF of 3980 and 3986 is 2

Greatest Common Factor of 3980 and 3986 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 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Greatest Common Factor

We found the factors and prime factorization of 3980 and 3986. The biggest common factor number is the GCF number.
So the greatest common factor 3980 and 3986 is 2.

Also check out the Least Common Multiple of 3980 and 3986

Properties of GCF 3980 and 3986

(i) The GCF of 3980 and 3986 is associative

GCF of 3980 and 3986 = GCF of 3986 and 3980

Related Greatest Common Factor of 3980

Related Greatest Common Factor of 3986

Frequently Asked Questions on GCF of 3980 and 3986

1. What is the GCF of 3980 and 3986?

Answer: GCF of 3980 and 3986 is 2.

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 3986?

Answer: Factors of 3986 are 1, 2, 1993, 3986. There are 4 integers that are factors of 3986. The greatest factor of 3986 is 3986.

4. How to Find the GCF of 3980 and 3986?

Answer:

Greatest Common Factor of 3980 and 3986 = 2

Step 1: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 3986

3986 = 2 x 1993

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 3980 and 3986 is 2