Greatest Common Factor of 3200 and 3207

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, 3207 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3200 and 3207 is 1.

GCF(3200,3207) = 1

GCF of 3200 and 3207

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

GCF of:
and

Greatest Common Factor of 3200 and 3207

GCF of 3200 and 3207 is 1

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 3207


3 3207
1069 1069
1

Prime factors of 3207 are 3,1069. Prime factorization of 3207 in exponential form is:

3207 = 31×10691

∴ So by taking common prime factors GCF of 3200 and 3207 is 1

Greatest Common Factor of 3200 and 3207 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 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1,3,1069,3207

Greatest Common Factor

We found the factors and prime factorization of 3200 and 3207. The biggest common factor number is the GCF number.
So the greatest common factor 3200 and 3207 is 1.

Also check out the Least Common Multiple of 3200 and 3207

Properties of GCF 3200 and 3207

(i) The GCF of 3200 and 3207 is associative

GCF of 3200 and 3207 = GCF of 3207 and 3200

Related Greatest Common Factor of 3200

Related Greatest Common Factor of 3207

Frequently Asked Questions on GCF of 3200 and 3207

1. What is the GCF of 3200 and 3207?

Answer: GCF of 3200 and 3207 is 1.

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 3207?

Answer: Factors of 3207 are 1, 3, 1069, 3207. There are 4 integers that are factors of 3207. The greatest factor of 3207 is 3207.

4. How to Find the GCF of 3200 and 3207?

Answer:

Greatest Common Factor of 3200 and 3207 = 1

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 3207

3207 = 3 x 1069

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3200 and 3207 is 1