Greatest Common Factor of 3064 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 3064, 3066 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3064 and 3066 is 2.

GCF(3064,3066) = 2

GCF of 3064 and 3066

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

GCF of:
and

Greatest Common Factor of 3064 and 3066

GCF of 3064 and 3066 is 2

Prime Factorization of 3064


2 3064
2 1532
2 766
383 383
1

Prime factors of 3064 are 2,383. Prime factorization of 3064 in exponential form is:

3064 = 23×3831

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 3064 and 3066 is 2

Greatest Common Factor of 3064 and 3066 by matching factors method

Factors of 3064

List of positive integer factors of 3064 that divides 3064 without a remainder.

1,2,4,8,383,766,1532,3064

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 3064 and 3066. The biggest common factor number is the GCF number.
So the greatest common factor 3064 and 3066 is 2.

Also check out the Least Common Multiple of 3064 and 3066

Properties of GCF 3064 and 3066

(i) The GCF of 3064 and 3066 is associative

GCF of 3064 and 3066 = GCF of 3066 and 3064

Related Greatest Common Factor of 3064

Related Greatest Common Factor of 3066

Frequently Asked Questions on GCF of 3064 and 3066

1. What is the GCF of 3064 and 3066?

Answer: GCF of 3064 and 3066 is 2.

2. What are the Factors of 3064?

Answer: Factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064. There are 8 integers that are factors of 3064. The greatest factor of 3064 is 3064.

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 3064 and 3066?

Answer:

Greatest Common Factor of 3064 and 3066 = 2

Step 1: Find the prime factorization of 3064

3064 = 2 x 2 x 2 x 383

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 = 2

Step 4: Therefore, the greatest common factor of 3064 and 3066 is 2