Greatest Common Factor of 3976 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 3976, 3983 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3976 and 3983 is 7.

GCF(3976,3983) = 7

GCF of 3976 and 3983

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

GCF of:
and

Greatest Common Factor of 3976 and 3983

GCF of 3976 and 3983 is 7

Prime Factorization of 3976


2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 3976 are 2,7,71. Prime factorization of 3976 in exponential form is:

3976 = 23×71×711

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 3976 and 3983 is 7

Greatest Common Factor of 3976 and 3983 by matching factors method

Factors of 3976

List of positive integer factors of 3976 that divides 3976 without a remainder.

1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976

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 3976 and 3983. The biggest common factor number is the GCF number.
So the greatest common factor 3976 and 3983 is 7.

Also check out the Least Common Multiple of 3976 and 3983

Properties of GCF 3976 and 3983

(i) The GCF of 3976 and 3983 is associative

GCF of 3976 and 3983 = GCF of 3983 and 3976

Related Greatest Common Factor of 3976

Related Greatest Common Factor of 3983

Frequently Asked Questions on GCF of 3976 and 3983

1. What is the GCF of 3976 and 3983?

Answer: GCF of 3976 and 3983 is 7.

2. What are the Factors of 3976?

Answer: Factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976. There are 16 integers that are factors of 3976. The greatest factor of 3976 is 3976.

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 3976 and 3983?

Answer:

Greatest Common Factor of 3976 and 3983 = 7

Step 1: Find the prime factorization of 3976

3976 = 2 x 2 x 2 x 7 x 71

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 = 7

Step 4: Therefore, the greatest common factor of 3976 and 3983 is 7