Greatest Common Factor of 3360 and 3365

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 3360, 3365 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3360 and 3365 is 5.

GCF(3360,3365) = 5

GCF of 3360 and 3365

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

GCF of:
and

Greatest Common Factor of 3360 and 3365

GCF of 3360 and 3365 is 5

Prime Factorization of 3360


2 3360
2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 3360 are 2,3,5,7. Prime factorization of 3360 in exponential form is:

3360 = 25×31×51×71

Prime Factorization of 3365


5 3365
673 673
1

Prime factors of 3365 are 5,673. Prime factorization of 3365 in exponential form is:

3365 = 51×6731

∴ So by taking common prime factors GCF of 3360 and 3365 is 5

Greatest Common Factor of 3360 and 3365 by matching factors method

Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360

Factors of 3365

List of positive integer factors of 3365 that divides 3365 without a remainder.

1,5,673,3365

Greatest Common Factor

We found the factors and prime factorization of 3360 and 3365. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3365 is 5.

Also check out the Least Common Multiple of 3360 and 3365

Properties of GCF 3360 and 3365

(i) The GCF of 3360 and 3365 is associative

GCF of 3360 and 3365 = GCF of 3365 and 3360

Related Greatest Common Factor of 3360

Related Greatest Common Factor of 3365

Frequently Asked Questions on GCF of 3360 and 3365

1. What is the GCF of 3360 and 3365?

Answer: GCF of 3360 and 3365 is 5.

2. What are the Factors of 3360?

Answer: Factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. There are 48 integers that are factors of 3360. The greatest factor of 3360 is 3360.

3. What are the Factors of 3365?

Answer: Factors of 3365 are 1, 5, 673, 3365. There are 4 integers that are factors of 3365. The greatest factor of 3365 is 3365.

4. How to Find the GCF of 3360 and 3365?

Answer:

Greatest Common Factor of 3360 and 3365 = 5

Step 1: Find the prime factorization of 3360

3360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7

Step 2: Find the prime factorization of 3365

3365 = 5 x 673

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 3360 and 3365 is 5