Greatest Common Factor of 3978 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 3978, 3984 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3978 and 3984 is 6.

GCF(3978,3984) = 6

GCF of 3978 and 3984

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

GCF of:
and

Greatest Common Factor of 3978 and 3984

GCF of 3978 and 3984 is 6

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 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 3978 and 3984 is 6

Greatest Common Factor of 3978 and 3984 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 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 3978 and 3984. The biggest common factor number is the GCF number.
So the greatest common factor 3978 and 3984 is 6.

Also check out the Least Common Multiple of 3978 and 3984

Properties of GCF 3978 and 3984

(i) The GCF of 3978 and 3984 is associative

GCF of 3978 and 3984 = GCF of 3984 and 3978

Related Greatest Common Factor of 3978

Related Greatest Common Factor of 3984

Frequently Asked Questions on GCF of 3978 and 3984

1. What is the GCF of 3978 and 3984?

Answer: GCF of 3978 and 3984 is 6.

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 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 3978 and 3984?

Answer:

Greatest Common Factor of 3978 and 3984 = 6

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 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 3 = 6

Step 4: Therefore, the greatest common factor of 3978 and 3984 is 6