Greatest Common Factor of 3353 and 3360

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 3353, 3360 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3353 and 3360 is 7.

GCF(3353,3360) = 7

GCF of 3353 and 3360

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

GCF of:
and

Greatest Common Factor of 3353 and 3360

GCF of 3353 and 3360 is 7

Prime Factorization of 3353


7 3353
479 479
1

Prime factors of 3353 are 7,479. Prime factorization of 3353 in exponential form is:

3353 = 71×4791

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

∴ So by taking common prime factors GCF of 3353 and 3360 is 7

Greatest Common Factor of 3353 and 3360 by matching factors method

Factors of 3353

List of positive integer factors of 3353 that divides 3353 without a remainder.

1,7,479,3353

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

Greatest Common Factor

We found the factors and prime factorization of 3353 and 3360. The biggest common factor number is the GCF number.
So the greatest common factor 3353 and 3360 is 7.

Also check out the Least Common Multiple of 3353 and 3360

Properties of GCF 3353 and 3360

(i) The GCF of 3353 and 3360 is associative

GCF of 3353 and 3360 = GCF of 3360 and 3353

Related Greatest Common Factor of 3353

Related Greatest Common Factor of 3360

Frequently Asked Questions on GCF of 3353 and 3360

1. What is the GCF of 3353 and 3360?

Answer: GCF of 3353 and 3360 is 7.

2. What are the Factors of 3353?

Answer: Factors of 3353 are 1, 7, 479, 3353. There are 4 integers that are factors of 3353. The greatest factor of 3353 is 3353.

3. 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.

4. How to Find the GCF of 3353 and 3360?

Answer:

Greatest Common Factor of 3353 and 3360 = 7

Step 1: Find the prime factorization of 3353

3353 = 7 x 479

Step 2: Find the prime factorization of 3360

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3353 and 3360 is 7