Greatest Common Factor of 3976 and 3984

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, 3984 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3976 and 3984 is 8.

GCF(3976,3984) = 8

GCF of 3976 and 3984

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

GCF of:
and

Greatest Common Factor of 3976 and 3984

GCF of 3976 and 3984 is 8

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 3984


2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 3984 are 2,3,83. Prime factorization of 3984 in exponential form is:

3984 = 24×31×831

∴ So by taking common prime factors GCF of 3976 and 3984 is 8

Greatest Common Factor of 3976 and 3984 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 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984

Greatest Common Factor

We found the factors and prime factorization of 3976 and 3984. The biggest common factor number is the GCF number.
So the greatest common factor 3976 and 3984 is 8.

Also check out the Least Common Multiple of 3976 and 3984

Properties of GCF 3976 and 3984

(i) The GCF of 3976 and 3984 is associative

GCF of 3976 and 3984 = GCF of 3984 and 3976

Related Greatest Common Factor of 3976

Related Greatest Common Factor of 3984

Frequently Asked Questions on GCF of 3976 and 3984

1. What is the GCF of 3976 and 3984?

Answer: GCF of 3976 and 3984 is 8.

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 3984?

Answer: Factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984. There are 20 integers that are factors of 3984. The greatest factor of 3984 is 3984.

4. How to Find the GCF of 3976 and 3984?

Answer:

Greatest Common Factor of 3976 and 3984 = 8

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 3984

3984 = 2 x 2 x 2 x 2 x 3 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3976 and 3984 is 8