Greatest Common Factor of 3296 and 3300

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 3296, 3300 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3296 and 3300 is 4.

GCF(3296,3300) = 4

GCF of 3296 and 3300

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

GCF of:
and

Greatest Common Factor of 3296 and 3300

GCF of 3296 and 3300 is 4

Prime Factorization of 3296


2 3296
2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 3296 are 2,103. Prime factorization of 3296 in exponential form is:

3296 = 25×1031

Prime Factorization of 3300


2 3300
2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 3300 are 2,3,5,11. Prime factorization of 3300 in exponential form is:

3300 = 22×31×52×111

∴ So by taking common prime factors GCF of 3296 and 3300 is 4

Greatest Common Factor of 3296 and 3300 by matching factors method

Factors of 3296

List of positive integer factors of 3296 that divides 3296 without a remainder.

1,2,4,8,16,32,103,206,412,824,1648,3296

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300

Greatest Common Factor

We found the factors and prime factorization of 3296 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3296 and 3300 is 4.

Also check out the Least Common Multiple of 3296 and 3300

Properties of GCF 3296 and 3300

(i) The GCF of 3296 and 3300 is associative

GCF of 3296 and 3300 = GCF of 3300 and 3296

Related Greatest Common Factor of 3296

Related Greatest Common Factor of 3300

Frequently Asked Questions on GCF of 3296 and 3300

1. What is the GCF of 3296 and 3300?

Answer: GCF of 3296 and 3300 is 4.

2. What are the Factors of 3296?

Answer: Factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. There are 12 integers that are factors of 3296. The greatest factor of 3296 is 3296.

3. What are the Factors of 3300?

Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.

4. How to Find the GCF of 3296 and 3300?

Answer:

Greatest Common Factor of 3296 and 3300 = 4

Step 1: Find the prime factorization of 3296

3296 = 2 x 2 x 2 x 2 x 2 x 103

Step 2: Find the prime factorization of 3300

3300 = 2 x 2 x 3 x 5 x 5 x 11

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3296 and 3300 is 4