Greatest Common Factor of 3262 and 3269

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 3262, 3269 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3262 and 3269 is 7.

GCF(3262,3269) = 7

GCF of 3262 and 3269

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

GCF of:
and

Greatest Common Factor of 3262 and 3269

GCF of 3262 and 3269 is 7

Prime Factorization of 3262


2 3262
7 1631
233 233
1

Prime factors of 3262 are 2,7,233. Prime factorization of 3262 in exponential form is:

3262 = 21×71×2331

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

∴ So by taking common prime factors GCF of 3262 and 3269 is 7

Greatest Common Factor of 3262 and 3269 by matching factors method

Factors of 3262

List of positive integer factors of 3262 that divides 3262 without a remainder.

1,2,7,14,233,466,1631,3262

Factors of 3269

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

1,7,467,3269

Greatest Common Factor

We found the factors and prime factorization of 3262 and 3269. The biggest common factor number is the GCF number.
So the greatest common factor 3262 and 3269 is 7.

Also check out the Least Common Multiple of 3262 and 3269

Properties of GCF 3262 and 3269

(i) The GCF of 3262 and 3269 is associative

GCF of 3262 and 3269 = GCF of 3269 and 3262

Related Greatest Common Factor of 3262

Related Greatest Common Factor of 3269

Frequently Asked Questions on GCF of 3262 and 3269

1. What is the GCF of 3262 and 3269?

Answer: GCF of 3262 and 3269 is 7.

2. What are the Factors of 3262?

Answer: Factors of 3262 are 1, 2, 7, 14, 233, 466, 1631, 3262. There are 8 integers that are factors of 3262. The greatest factor of 3262 is 3262.

3. 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.

4. How to Find the GCF of 3262 and 3269?

Answer:

Greatest Common Factor of 3262 and 3269 = 7

Step 1: Find the prime factorization of 3262

3262 = 2 x 7 x 233

Step 2: Find the prime factorization of 3269

3269 = 7 x 467

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3262 and 3269 is 7