Greatest Common Factor of 3375 and 3380

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, 3380 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3375 and 3380 is 5.

GCF(3375,3380) = 5

GCF of 3375 and 3380

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

GCF of:
and

Greatest Common Factor of 3375 and 3380

GCF of 3375 and 3380 is 5

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 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2,5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

∴ So by taking common prime factors GCF of 3375 and 3380 is 5

Greatest Common Factor of 3375 and 3380 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 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Greatest Common Factor

We found the factors and prime factorization of 3375 and 3380. The biggest common factor number is the GCF number.
So the greatest common factor 3375 and 3380 is 5.

Also check out the Least Common Multiple of 3375 and 3380

Properties of GCF 3375 and 3380

(i) The GCF of 3375 and 3380 is associative

GCF of 3375 and 3380 = GCF of 3380 and 3375

Related Greatest Common Factor of 3375

Related Greatest Common Factor of 3380

Frequently Asked Questions on GCF of 3375 and 3380

1. What is the GCF of 3375 and 3380?

Answer: GCF of 3375 and 3380 is 5.

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 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

4. How to Find the GCF of 3375 and 3380?

Answer:

Greatest Common Factor of 3375 and 3380 = 5

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 3380

3380 = 2 x 2 x 5 x 13 x 13

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 3375 and 3380 is 5