Greatest Common Factor of 3978 and 3983

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, 3983 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3978 and 3983 is 1.

GCF(3978,3983) = 1

GCF of 3978 and 3983

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

GCF of:
and

Greatest Common Factor of 3978 and 3983

GCF of 3978 and 3983 is 1

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 3983


7 3983
569 569
1

Prime factors of 3983 are 7,569. Prime factorization of 3983 in exponential form is:

3983 = 71×5691

∴ So by taking common prime factors GCF of 3978 and 3983 is 1

Greatest Common Factor of 3978 and 3983 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 3983

List of positive integer factors of 3983 that divides 3983 without a remainder.

1,7,569,3983

Greatest Common Factor

We found the factors and prime factorization of 3978 and 3983. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3983 is 1.

Also check out the Least Common Multiple of 3978 and 3983

Properties of GCF 3978 and 3983

(i) The GCF of 3978 and 3983 is associative

GCF of 3978 and 3983 = GCF of 3983 and 3978

Related Greatest Common Factor of 3978

Related Greatest Common Factor of 3983

Frequently Asked Questions on GCF of 3978 and 3983

1. What is the GCF of 3978 and 3983?

Answer: GCF of 3978 and 3983 is 1.

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 3983?

Answer: Factors of 3983 are 1, 7, 569, 3983. There are 4 integers that are factors of 3983. The greatest factor of 3983 is 3983.

4. How to Find the GCF of 3978 and 3983?

Answer:

Greatest Common Factor of 3978 and 3983 = 1

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 3983

3983 = 7 x 569

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 3978 and 3983 is 1