Greatest Common Factor of 6066 and 6074

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 6066, 6074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6066 and 6074 is 2.

GCF(6066,6074) = 2

GCF of 6066 and 6074

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

GCF of:
and

Greatest Common Factor of 6066 and 6074

GCF of 6066 and 6074 is 2

Prime Factorization of 6066


2 6066
3 3033
3 1011
337 337
1

Prime factors of 6066 are 2,3,337. Prime factorization of 6066 in exponential form is:

6066 = 21×32×3371

Prime Factorization of 6074


2 6074
3037 3037
1

Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:

6074 = 21×30371

∴ So by taking common prime factors GCF of 6066 and 6074 is 2

Greatest Common Factor of 6066 and 6074 by matching factors method

Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Factors of 6074

List of positive integer factors of 6074 that divides 6074 without a remainder.

1,2,3037,6074

Greatest Common Factor

We found the factors and prime factorization of 6066 and 6074. The biggest common factor number is the GCF number.
So the greatest common factor 6066 and 6074 is 2.

Also check out the Least Common Multiple of 6066 and 6074

Properties of GCF 6066 and 6074

(i) The GCF of 6066 and 6074 is associative

GCF of 6066 and 6074 = GCF of 6074 and 6066

Related Greatest Common Factor of 6066

Related Greatest Common Factor of 6074

Frequently Asked Questions on GCF of 6066 and 6074

1. What is the GCF of 6066 and 6074?

Answer: GCF of 6066 and 6074 is 2.

2. What are the Factors of 6066?

Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.

3. What are the Factors of 6074?

Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.

4. How to Find the GCF of 6066 and 6074?

Answer:

Greatest Common Factor of 6066 and 6074 = 2

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

Step 2: Find the prime factorization of 6074

6074 = 2 x 3037

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 6066 and 6074 is 2