Greatest Common Factor of 3269 and 3275

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 3269, 3275 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3269 and 3275 is 1.

GCF(3269,3275) = 1

GCF of 3269 and 3275

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

GCF of:
and

Greatest Common Factor of 3269 and 3275

GCF of 3269 and 3275 is 1

Prime Factorization of 3269


7 3269
467 467
1

Prime factors of 3269 are 7,467. Prime factorization of 3269 in exponential form is:

3269 = 71×4671

Prime Factorization of 3275


5 3275
5 655
131 131
1

Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:

3275 = 52×1311

∴ So by taking common prime factors GCF of 3269 and 3275 is 1

Greatest Common Factor of 3269 and 3275 by matching factors method

Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1,7,467,3269

Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1,5,25,131,655,3275

Greatest Common Factor

We found the factors and prime factorization of 3269 and 3275. The biggest common factor number is the GCF number.
So the greatest common factor 3269 and 3275 is 1.

Also check out the Least Common Multiple of 3269 and 3275

Properties of GCF 3269 and 3275

(i) The GCF of 3269 and 3275 is associative

GCF of 3269 and 3275 = GCF of 3275 and 3269

Related Greatest Common Factor of 3269

Related Greatest Common Factor of 3275

Frequently Asked Questions on GCF of 3269 and 3275

1. What is the GCF of 3269 and 3275?

Answer: GCF of 3269 and 3275 is 1.

2. What are the Factors of 3269?

Answer: Factors of 3269 are 1, 7, 467, 3269. There are 4 integers that are factors of 3269. The greatest factor of 3269 is 3269.

3. What are the Factors of 3275?

Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.

4. How to Find the GCF of 3269 and 3275?

Answer:

Greatest Common Factor of 3269 and 3275 = 1

Step 1: Find the prime factorization of 3269

3269 = 7 x 467

Step 2: Find the prime factorization of 3275

3275 = 5 x 5 x 131

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 3269 and 3275 is 1