Greatest Common Factor of 3298 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 3298, 3300 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3298 and 3300 is 2.

GCF(3298,3300) = 2

GCF of 3298 and 3300

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

GCF of:
and

Greatest Common Factor of 3298 and 3300

GCF of 3298 and 3300 is 2

Prime Factorization of 3298


2 3298
17 1649
97 97
1

Prime factors of 3298 are 2,17,97. Prime factorization of 3298 in exponential form is:

3298 = 21×171×971

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 3298 and 3300 is 2

Greatest Common Factor of 3298 and 3300 by matching factors method

Factors of 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

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 3298 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3298 and 3300 is 2.

Also check out the Least Common Multiple of 3298 and 3300

Properties of GCF 3298 and 3300

(i) The GCF of 3298 and 3300 is associative

GCF of 3298 and 3300 = GCF of 3300 and 3298

Related Greatest Common Factor of 3298

Related Greatest Common Factor of 3300

Frequently Asked Questions on GCF of 3298 and 3300

1. What is the GCF of 3298 and 3300?

Answer: GCF of 3298 and 3300 is 2.

2. What are the Factors of 3298?

Answer: Factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298. There are 8 integers that are factors of 3298. The greatest factor of 3298 is 3298.

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 3298 and 3300?

Answer:

Greatest Common Factor of 3298 and 3300 = 2

Step 1: Find the prime factorization of 3298

3298 = 2 x 17 x 97

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

Step 4: Therefore, the greatest common factor of 3298 and 3300 is 2