Greatest Common Factor of 3063 and 3066

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 3063, 3066 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3063 and 3066 is 3.

GCF(3063,3066) = 3

GCF of 3063 and 3066

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

GCF of:
and

Greatest Common Factor of 3063 and 3066

GCF of 3063 and 3066 is 3

Prime Factorization of 3063


3 3063
1021 1021
1

Prime factors of 3063 are 3,1021. Prime factorization of 3063 in exponential form is:

3063 = 31×10211

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

∴ So by taking common prime factors GCF of 3063 and 3066 is 3

Greatest Common Factor of 3063 and 3066 by matching factors method

Factors of 3063

List of positive integer factors of 3063 that divides 3063 without a remainder.

1,3,1021,3063

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

Greatest Common Factor

We found the factors and prime factorization of 3063 and 3066. The biggest common factor number is the GCF number.
So the greatest common factor 3063 and 3066 is 3.

Also check out the Least Common Multiple of 3063 and 3066

Properties of GCF 3063 and 3066

(i) The GCF of 3063 and 3066 is associative

GCF of 3063 and 3066 = GCF of 3066 and 3063

Related Greatest Common Factor of 3063

Related Greatest Common Factor of 3066

Frequently Asked Questions on GCF of 3063 and 3066

1. What is the GCF of 3063 and 3066?

Answer: GCF of 3063 and 3066 is 3.

2. What are the Factors of 3063?

Answer: Factors of 3063 are 1, 3, 1021, 3063. There are 4 integers that are factors of 3063. The greatest factor of 3063 is 3063.

3. 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.

4. How to Find the GCF of 3063 and 3066?

Answer:

Greatest Common Factor of 3063 and 3066 = 3

Step 1: Find the prime factorization of 3063

3063 = 3 x 1021

Step 2: Find the prime factorization of 3066

3066 = 2 x 3 x 7 x 73

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 3063 and 3066 is 3