Greatest Common Factor of 3066 and 3072

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 3066, 3072 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3066 and 3072 is 6.

GCF(3066,3072) = 6

GCF of 3066 and 3072

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

GCF of:
and

Greatest Common Factor of 3066 and 3072

GCF of 3066 and 3072 is 6

Prime Factorization of 3066


2 3066
3 1533
7 511
73 73
1

Prime factors of 3066 are 2,3,7,73. Prime factorization of 3066 in exponential form is:

3066 = 21×31×71×731

Prime Factorization of 3072


2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 3072 are 2,3. Prime factorization of 3072 in exponential form is:

3072 = 210×31

∴ So by taking common prime factors GCF of 3066 and 3072 is 6

Greatest Common Factor of 3066 and 3072 by matching factors method

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066

Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072

Greatest Common Factor

We found the factors and prime factorization of 3066 and 3072. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3072 is 6.

Also check out the Least Common Multiple of 3066 and 3072

Properties of GCF 3066 and 3072

(i) The GCF of 3066 and 3072 is associative

GCF of 3066 and 3072 = GCF of 3072 and 3066

Related Greatest Common Factor of 3066

Related Greatest Common Factor of 3072

Frequently Asked Questions on GCF of 3066 and 3072

1. What is the GCF of 3066 and 3072?

Answer: GCF of 3066 and 3072 is 6.

2. What are the Factors of 3066?

Answer: Factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066. There are 16 integers that are factors of 3066. The greatest factor of 3066 is 3066.

3. What are the Factors of 3072?

Answer: Factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072. There are 22 integers that are factors of 3072. The greatest factor of 3072 is 3072.

4. How to Find the GCF of 3066 and 3072?

Answer:

Greatest Common Factor of 3066 and 3072 = 6

Step 1: Find the prime factorization of 3066

3066 = 2 x 3 x 7 x 73

Step 2: Find the prime factorization of 3072

3072 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 3066 and 3072 is 6