Greatest Common Factor of 6069 and 6075

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 6069, 6075 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6069 and 6075 is 3.

GCF(6069,6075) = 3

GCF of 6069 and 6075

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

GCF of:
and

Greatest Common Factor of 6069 and 6075

GCF of 6069 and 6075 is 3

Prime Factorization of 6069


3 6069
7 2023
17 289
17 17
1

Prime factors of 6069 are 3,7,17. Prime factorization of 6069 in exponential form is:

6069 = 31×71×172

Prime Factorization of 6075


3 6075
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 6075 are 3,5. Prime factorization of 6075 in exponential form is:

6075 = 35×52

∴ So by taking common prime factors GCF of 6069 and 6075 is 3

Greatest Common Factor of 6069 and 6075 by matching factors method

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1,3,7,17,21,51,119,289,357,867,2023,6069

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Greatest Common Factor

We found the factors and prime factorization of 6069 and 6075. The biggest common factor number is the GCF number.
So the greatest common factor 6069 and 6075 is 3.

Also check out the Least Common Multiple of 6069 and 6075

Properties of GCF 6069 and 6075

(i) The GCF of 6069 and 6075 is associative

GCF of 6069 and 6075 = GCF of 6075 and 6069

Related Greatest Common Factor of 6069

Related Greatest Common Factor of 6075

Frequently Asked Questions on GCF of 6069 and 6075

1. What is the GCF of 6069 and 6075?

Answer: GCF of 6069 and 6075 is 3.

2. What are the Factors of 6069?

Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.

3. What are the Factors of 6075?

Answer: Factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075. There are 18 integers that are factors of 6075. The greatest factor of 6075 is 6075.

4. How to Find the GCF of 6069 and 6075?

Answer:

Greatest Common Factor of 6069 and 6075 = 3

Step 1: Find the prime factorization of 6069

6069 = 3 x 7 x 17 x 17

Step 2: Find the prime factorization of 6075

6075 = 3 x 3 x 3 x 3 x 3 x 5 x 5

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 6069 and 6075 is 3