Greatest Common Factor of 3954 and 3960

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 3954, 3960 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3954 and 3960 is 6.

GCF(3954,3960) = 6

GCF of 3954 and 3960

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

GCF of:
and

Greatest Common Factor of 3954 and 3960

GCF of 3954 and 3960 is 6

Prime Factorization of 3954


2 3954
3 1977
659 659
1

Prime factors of 3954 are 2,3,659. Prime factorization of 3954 in exponential form is:

3954 = 21×31×6591

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

∴ So by taking common prime factors GCF of 3954 and 3960 is 6

Greatest Common Factor of 3954 and 3960 by matching factors method

Factors of 3954

List of positive integer factors of 3954 that divides 3954 without a remainder.

1,2,3,6,659,1318,1977,3954

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

Greatest Common Factor

We found the factors and prime factorization of 3954 and 3960. The biggest common factor number is the GCF number.
So the greatest common factor 3954 and 3960 is 6.

Also check out the Least Common Multiple of 3954 and 3960

Properties of GCF 3954 and 3960

(i) The GCF of 3954 and 3960 is associative

GCF of 3954 and 3960 = GCF of 3960 and 3954

Related Greatest Common Factor of 3954

Related Greatest Common Factor of 3960

Frequently Asked Questions on GCF of 3954 and 3960

1. What is the GCF of 3954 and 3960?

Answer: GCF of 3954 and 3960 is 6.

2. What are the Factors of 3954?

Answer: Factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954. There are 8 integers that are factors of 3954. The greatest factor of 3954 is 3954.

3. 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.

4. How to Find the GCF of 3954 and 3960?

Answer:

Greatest Common Factor of 3954 and 3960 = 6

Step 1: Find the prime factorization of 3954

3954 = 2 x 3 x 659

Step 2: Find the prime factorization of 3960

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

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 3954 and 3960 is 6