Greatest Common Factor of 3162 and 3168

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 3162, 3168 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3162 and 3168 is 6.

GCF(3162,3168) = 6

GCF of 3162 and 3168

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

GCF of:
and

Greatest Common Factor of 3162 and 3168

GCF of 3162 and 3168 is 6

Prime Factorization of 3162


2 3162
3 1581
17 527
31 31
1

Prime factors of 3162 are 2,3,17,31. Prime factorization of 3162 in exponential form is:

3162 = 21×31×171×311

Prime Factorization of 3168


2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 3168 are 2,3,11. Prime factorization of 3168 in exponential form is:

3168 = 25×32×111

∴ So by taking common prime factors GCF of 3162 and 3168 is 6

Greatest Common Factor of 3162 and 3168 by matching factors method

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Factors of 3168

List of positive integer factors of 3168 that divides 3168 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168

Greatest Common Factor

We found the factors and prime factorization of 3162 and 3168. The biggest common factor number is the GCF number.
So the greatest common factor 3162 and 3168 is 6.

Also check out the Least Common Multiple of 3162 and 3168

Properties of GCF 3162 and 3168

(i) The GCF of 3162 and 3168 is associative

GCF of 3162 and 3168 = GCF of 3168 and 3162

Related Greatest Common Factor of 3162

Related Greatest Common Factor of 3168

Frequently Asked Questions on GCF of 3162 and 3168

1. What is the GCF of 3162 and 3168?

Answer: GCF of 3162 and 3168 is 6.

2. What are the Factors of 3162?

Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.

3. What are the Factors of 3168?

Answer: Factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168. There are 36 integers that are factors of 3168. The greatest factor of 3168 is 3168.

4. How to Find the GCF of 3162 and 3168?

Answer:

Greatest Common Factor of 3162 and 3168 = 6

Step 1: Find the prime factorization of 3162

3162 = 2 x 3 x 17 x 31

Step 2: Find the prime factorization of 3168

3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 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 3162 and 3168 is 6