Greatest Common Factor of 3375 and 3378

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 3375, 3378 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3375 and 3378 is 3.

GCF(3375,3378) = 3

GCF of 3375 and 3378

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

GCF of:
and

Greatest Common Factor of 3375 and 3378

GCF of 3375 and 3378 is 3

Prime Factorization of 3375


3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 3375 are 3,5. Prime factorization of 3375 in exponential form is:

3375 = 33×53

Prime Factorization of 3378


2 3378
3 1689
563 563
1

Prime factors of 3378 are 2,3,563. Prime factorization of 3378 in exponential form is:

3378 = 21×31×5631

∴ So by taking common prime factors GCF of 3375 and 3378 is 3

Greatest Common Factor of 3375 and 3378 by matching factors method

Factors of 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1,2,3,6,563,1126,1689,3378

Greatest Common Factor

We found the factors and prime factorization of 3375 and 3378. The biggest common factor number is the GCF number.
So the greatest common factor 3375 and 3378 is 3.

Also check out the Least Common Multiple of 3375 and 3378

Properties of GCF 3375 and 3378

(i) The GCF of 3375 and 3378 is associative

GCF of 3375 and 3378 = GCF of 3378 and 3375

Related Greatest Common Factor of 3375

Related Greatest Common Factor of 3378

Frequently Asked Questions on GCF of 3375 and 3378

1. What is the GCF of 3375 and 3378?

Answer: GCF of 3375 and 3378 is 3.

2. What are the Factors of 3375?

Answer: Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. There are 16 integers that are factors of 3375. The greatest factor of 3375 is 3375.

3. What are the Factors of 3378?

Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.

4. How to Find the GCF of 3375 and 3378?

Answer:

Greatest Common Factor of 3375 and 3378 = 3

Step 1: Find the prime factorization of 3375

3375 = 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 3378

3378 = 2 x 3 x 563

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 3375 and 3378 is 3