Greatest Common Factor of 3978 and 3982

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 3978, 3982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3978 and 3982 is 2.

GCF(3978,3982) = 2

GCF of 3978 and 3982

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

GCF of:
and

Greatest Common Factor of 3978 and 3982

GCF of 3978 and 3982 is 2

Prime Factorization of 3978


2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 3978 are 2,3,13,17. Prime factorization of 3978 in exponential form is:

3978 = 21×32×131×171

Prime Factorization of 3982


2 3982
11 1991
181 181
1

Prime factors of 3982 are 2,11,181. Prime factorization of 3982 in exponential form is:

3982 = 21×111×1811

∴ So by taking common prime factors GCF of 3978 and 3982 is 2

Greatest Common Factor of 3978 and 3982 by matching factors method

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1,2,11,22,181,362,1991,3982

Greatest Common Factor

We found the factors and prime factorization of 3978 and 3982. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3982 is 2.

Also check out the Least Common Multiple of 3978 and 3982

Properties of GCF 3978 and 3982

(i) The GCF of 3978 and 3982 is associative

GCF of 3978 and 3982 = GCF of 3982 and 3978

Related Greatest Common Factor of 3978

Related Greatest Common Factor of 3982

Frequently Asked Questions on GCF of 3978 and 3982

1. What is the GCF of 3978 and 3982?

Answer: GCF of 3978 and 3982 is 2.

2. What are the Factors of 3978?

Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.

3. What are the Factors of 3982?

Answer: Factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982. There are 8 integers that are factors of 3982. The greatest factor of 3982 is 3982.

4. How to Find the GCF of 3978 and 3982?

Answer:

Greatest Common Factor of 3978 and 3982 = 2

Step 1: Find the prime factorization of 3978

3978 = 2 x 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 3982

3982 = 2 x 11 x 181

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 3978 and 3982 is 2