Greatest Common Factor of 3200 and 3204

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 3200, 3204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3200 and 3204 is 4.

GCF(3200,3204) = 4

GCF of 3200 and 3204

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

GCF of:
and

Greatest Common Factor of 3200 and 3204

GCF of 3200 and 3204 is 4

Prime Factorization of 3200


2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 3200 are 2,5. Prime factorization of 3200 in exponential form is:

3200 = 27×52

Prime Factorization of 3204


2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 3204 are 2,3,89. Prime factorization of 3204 in exponential form is:

3204 = 22×32×891

∴ So by taking common prime factors GCF of 3200 and 3204 is 4

Greatest Common Factor of 3200 and 3204 by matching factors method

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204

Greatest Common Factor

We found the factors and prime factorization of 3200 and 3204. The biggest common factor number is the GCF number.
So the greatest common factor 3200 and 3204 is 4.

Also check out the Least Common Multiple of 3200 and 3204

Properties of GCF 3200 and 3204

(i) The GCF of 3200 and 3204 is associative

GCF of 3200 and 3204 = GCF of 3204 and 3200

Related Greatest Common Factor of 3200

Related Greatest Common Factor of 3204

Frequently Asked Questions on GCF of 3200 and 3204

1. What is the GCF of 3200 and 3204?

Answer: GCF of 3200 and 3204 is 4.

2. What are the Factors of 3200?

Answer: Factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200. There are 24 integers that are factors of 3200. The greatest factor of 3200 is 3200.

3. What are the Factors of 3204?

Answer: Factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. There are 18 integers that are factors of 3204. The greatest factor of 3204 is 3204.

4. How to Find the GCF of 3200 and 3204?

Answer:

Greatest Common Factor of 3200 and 3204 = 4

Step 1: Find the prime factorization of 3200

3200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 3204

3204 = 2 x 2 x 3 x 3 x 89

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 3200 and 3204 is 4