Greatest Common Factor of 3069 and 3075

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 3069, 3075 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3069 and 3075 is 3.

GCF(3069,3075) = 3

GCF of 3069 and 3075

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

GCF of:
and

Greatest Common Factor of 3069 and 3075

GCF of 3069 and 3075 is 3

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

Prime Factorization of 3075


3 3075
5 1025
5 205
41 41
1

Prime factors of 3075 are 3,5,41. Prime factorization of 3075 in exponential form is:

3075 = 31×52×411

∴ So by taking common prime factors GCF of 3069 and 3075 is 3

Greatest Common Factor of 3069 and 3075 by matching factors method

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

Factors of 3075

List of positive integer factors of 3075 that divides 3075 without a remainder.

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors and prime factorization of 3069 and 3075. The biggest common factor number is the GCF number.
So the greatest common factor 3069 and 3075 is 3.

Also check out the Least Common Multiple of 3069 and 3075

Properties of GCF 3069 and 3075

(i) The GCF of 3069 and 3075 is associative

GCF of 3069 and 3075 = GCF of 3075 and 3069

Related Greatest Common Factor of 3069

Related Greatest Common Factor of 3075

Frequently Asked Questions on GCF of 3069 and 3075

1. What is the GCF of 3069 and 3075?

Answer: GCF of 3069 and 3075 is 3.

2. 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.

3. What are the Factors of 3075?

Answer: Factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075. There are 12 integers that are factors of 3075. The greatest factor of 3075 is 3075.

4. How to Find the GCF of 3069 and 3075?

Answer:

Greatest Common Factor of 3069 and 3075 = 3

Step 1: Find the prime factorization of 3069

3069 = 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

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 3069 and 3075 is 3