Greatest Common Factor of 3168 and 3172

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 3168, 3172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3168 and 3172 is 4.

GCF(3168,3172) = 4

GCF of 3168 and 3172

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

GCF of:
and

Greatest Common Factor of 3168 and 3172

GCF of 3168 and 3172 is 4

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

Prime Factorization of 3172


2 3172
2 1586
13 793
61 61
1

Prime factors of 3172 are 2,13,61. Prime factorization of 3172 in exponential form is:

3172 = 22×131×611

∴ So by taking common prime factors GCF of 3168 and 3172 is 4

Greatest Common Factor of 3168 and 3172 by matching factors method

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

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors and prime factorization of 3168 and 3172. The biggest common factor number is the GCF number.
So the greatest common factor 3168 and 3172 is 4.

Also check out the Least Common Multiple of 3168 and 3172

Properties of GCF 3168 and 3172

(i) The GCF of 3168 and 3172 is associative

GCF of 3168 and 3172 = GCF of 3172 and 3168

Related Greatest Common Factor of 3168

Related Greatest Common Factor of 3172

Frequently Asked Questions on GCF of 3168 and 3172

1. What is the GCF of 3168 and 3172?

Answer: GCF of 3168 and 3172 is 4.

2. 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.

3. What are the Factors of 3172?

Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.

4. How to Find the GCF of 3168 and 3172?

Answer:

Greatest Common Factor of 3168 and 3172 = 4

Step 1: Find the prime factorization of 3168

3168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 3172

3172 = 2 x 2 x 13 x 61

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3168 and 3172 is 4