Greatest Common Factor of 3960 and 3963

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 3960, 3963 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3960 and 3963 is 3.

GCF(3960,3963) = 3

GCF of 3960 and 3963

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

GCF of:
and

Greatest Common Factor of 3960 and 3963

GCF of 3960 and 3963 is 3

Prime Factorization of 3960


2 3960
2 1980
2 990
3 495
3 165
5 55
11 11
1

Prime factors of 3960 are 2,3,5,11. Prime factorization of 3960 in exponential form is:

3960 = 23×32×51×111

Prime Factorization of 3963


3 3963
1321 1321
1

Prime factors of 3963 are 3,1321. Prime factorization of 3963 in exponential form is:

3963 = 31×13211

∴ So by taking common prime factors GCF of 3960 and 3963 is 3

Greatest Common Factor of 3960 and 3963 by matching factors method

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Factors of 3963

List of positive integer factors of 3963 that divides 3963 without a remainder.

1,3,1321,3963

Greatest Common Factor

We found the factors and prime factorization of 3960 and 3963. The biggest common factor number is the GCF number.
So the greatest common factor 3960 and 3963 is 3.

Also check out the Least Common Multiple of 3960 and 3963

Properties of GCF 3960 and 3963

(i) The GCF of 3960 and 3963 is associative

GCF of 3960 and 3963 = GCF of 3963 and 3960

Related Greatest Common Factor of 3960

Related Greatest Common Factor of 3963

Frequently Asked Questions on GCF of 3960 and 3963

1. What is the GCF of 3960 and 3963?

Answer: GCF of 3960 and 3963 is 3.

2. What are the Factors of 3960?

Answer: Factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960. There are 48 integers that are factors of 3960. The greatest factor of 3960 is 3960.

3. What are the Factors of 3963?

Answer: Factors of 3963 are 1, 3, 1321, 3963. There are 4 integers that are factors of 3963. The greatest factor of 3963 is 3963.

4. How to Find the GCF of 3960 and 3963?

Answer:

Greatest Common Factor of 3960 and 3963 = 3

Step 1: Find the prime factorization of 3960

3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 3963

3963 = 3 x 1321

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3960 and 3963 is 3