Greatest Common Factor of 3075 and 3078

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 3075, 3078 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3075 and 3078 is 3.

GCF(3075,3078) = 3

GCF of 3075 and 3078

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

GCF of:
and

Greatest Common Factor of 3075 and 3078

GCF of 3075 and 3078 is 3

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

Prime Factorization of 3078


2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 3078 are 2,3,19. Prime factorization of 3078 in exponential form is:

3078 = 21×34×191

∴ So by taking common prime factors GCF of 3075 and 3078 is 3

Greatest Common Factor of 3075 and 3078 by matching factors method

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

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Greatest Common Factor

We found the factors and prime factorization of 3075 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3075 and 3078 is 3.

Also check out the Least Common Multiple of 3075 and 3078

Properties of GCF 3075 and 3078

(i) The GCF of 3075 and 3078 is associative

GCF of 3075 and 3078 = GCF of 3078 and 3075

Related Greatest Common Factor of 3075

Related Greatest Common Factor of 3078

Frequently Asked Questions on GCF of 3075 and 3078

1. What is the GCF of 3075 and 3078?

Answer: GCF of 3075 and 3078 is 3.

2. 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.

3. What are the Factors of 3078?

Answer: Factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078. There are 20 integers that are factors of 3078. The greatest factor of 3078 is 3078.

4. How to Find the GCF of 3075 and 3078?

Answer:

Greatest Common Factor of 3075 and 3078 = 3

Step 1: Find the prime factorization of 3075

3075 = 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 3078

3078 = 2 x 3 x 3 x 3 x 3 x 19

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 3075 and 3078 is 3