Greatest Common Factor of 3370 and 3375

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 3370, 3375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3370 and 3375 is 5.

GCF(3370,3375) = 5

GCF of 3370 and 3375

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

GCF of:
and

Greatest Common Factor of 3370 and 3375

GCF of 3370 and 3375 is 5

Prime Factorization of 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2,5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

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

∴ So by taking common prime factors GCF of 3370 and 3375 is 5

Greatest Common Factor of 3370 and 3375 by matching factors method

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1,2,5,10,337,674,1685,3370

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

Greatest Common Factor

We found the factors and prime factorization of 3370 and 3375. The biggest common factor number is the GCF number.
So the greatest common factor 3370 and 3375 is 5.

Also check out the Least Common Multiple of 3370 and 3375

Properties of GCF 3370 and 3375

(i) The GCF of 3370 and 3375 is associative

GCF of 3370 and 3375 = GCF of 3375 and 3370

Related Greatest Common Factor of 3370

Related Greatest Common Factor of 3375

Frequently Asked Questions on GCF of 3370 and 3375

1. What is the GCF of 3370 and 3375?

Answer: GCF of 3370 and 3375 is 5.

2. What are the Factors of 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

3. 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.

4. How to Find the GCF of 3370 and 3375?

Answer:

Greatest Common Factor of 3370 and 3375 = 5

Step 1: Find the prime factorization of 3370

3370 = 2 x 5 x 337

Step 2: Find the prime factorization of 3375

3375 = 3 x 3 x 3 x 5 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 = 5

Step 4: Therefore, the greatest common factor of 3370 and 3375 is 5