Greatest Common Factor of 3066 and 3069

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, 3069 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3066 and 3069 is 3.

GCF(3066,3069) = 3

GCF of 3066 and 3069

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

GCF of:
and

Greatest Common Factor of 3066 and 3069

GCF of 3066 and 3069 is 3

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 3069


3 3069
3 1023
11 341
31 31
1

Prime factors of 3069 are 3,11,31. Prime factorization of 3069 in exponential form is:

3069 = 32×111×311

∴ So by taking common prime factors GCF of 3066 and 3069 is 3

Greatest Common Factor of 3066 and 3069 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 3069

List of positive integer factors of 3069 that divides 3069 without a remainder.

1,3,9,11,31,33,93,99,279,341,1023,3069

Greatest Common Factor

We found the factors and prime factorization of 3066 and 3069. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3069 is 3.

Also check out the Least Common Multiple of 3066 and 3069

Properties of GCF 3066 and 3069

(i) The GCF of 3066 and 3069 is associative

GCF of 3066 and 3069 = GCF of 3069 and 3066

Related Greatest Common Factor of 3066

Related Greatest Common Factor of 3069

Frequently Asked Questions on GCF of 3066 and 3069

1. What is the GCF of 3066 and 3069?

Answer: GCF of 3066 and 3069 is 3.

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 3069?

Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.

4. How to Find the GCF of 3066 and 3069?

Answer:

Greatest Common Factor of 3066 and 3069 = 3

Step 1: Find the prime factorization of 3066

3066 = 2 x 3 x 7 x 73

Step 2: Find the prime factorization of 3069

3069 = 3 x 3 x 11 x 31

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 3066 and 3069 is 3