Greatest Common Factor of 3201 and 3209

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 3201, 3209 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3201 and 3209 is 1.

GCF(3201,3209) = 1

GCF of 3201 and 3209

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

GCF of:
and

Greatest Common Factor of 3201 and 3209

GCF of 3201 and 3209 is 1

Prime Factorization of 3201


3 3201
11 1067
97 97
1

Prime factors of 3201 are 3,11,97. Prime factorization of 3201 in exponential form is:

3201 = 31×111×971

Prime Factorization of 3209


3209 3209
1

Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:

3209 = 32091

∴ So by taking common prime factors GCF of 3201 and 3209 is 1

Greatest Common Factor of 3201 and 3209 by matching factors method

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1,3,11,33,97,291,1067,3201

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Greatest Common Factor

We found the factors and prime factorization of 3201 and 3209. The biggest common factor number is the GCF number.
So the greatest common factor 3201 and 3209 is 1.

Also check out the Least Common Multiple of 3201 and 3209

Properties of GCF 3201 and 3209

(i) The GCF of 3201 and 3209 is associative

GCF of 3201 and 3209 = GCF of 3209 and 3201

Related Greatest Common Factor of 3201

Related Greatest Common Factor of 3209

Frequently Asked Questions on GCF of 3201 and 3209

1. What is the GCF of 3201 and 3209?

Answer: GCF of 3201 and 3209 is 1.

2. What are the Factors of 3201?

Answer: Factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201. There are 8 integers that are factors of 3201. The greatest factor of 3201 is 3201.

3. What are the Factors of 3209?

Answer: Factors of 3209 are 1, 3209. There are 2 integers that are factors of 3209. The greatest factor of 3209 is 3209.

4. How to Find the GCF of 3201 and 3209?

Answer:

Greatest Common Factor of 3201 and 3209 = 1

Step 1: Find the prime factorization of 3201

3201 = 3 x 11 x 97

Step 2: Find the prime factorization of 3209

3209 = 3209

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 3201 and 3209 is 1