Greatest Common Factor of 3290 and 3296

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 3290, 3296 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3290 and 3296 is 2.

GCF(3290,3296) = 2

GCF of 3290 and 3296

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

GCF of:
and

Greatest Common Factor of 3290 and 3296

GCF of 3290 and 3296 is 2

Prime Factorization of 3290


2 3290
5 1645
7 329
47 47
1

Prime factors of 3290 are 2,5,7,47. Prime factorization of 3290 in exponential form is:

3290 = 21×51×71×471

Prime Factorization of 3296


2 3296
2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 3296 are 2,103. Prime factorization of 3296 in exponential form is:

3296 = 25×1031

∴ So by taking common prime factors GCF of 3290 and 3296 is 2

Greatest Common Factor of 3290 and 3296 by matching factors method

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Factors of 3296

List of positive integer factors of 3296 that divides 3296 without a remainder.

1,2,4,8,16,32,103,206,412,824,1648,3296

Greatest Common Factor

We found the factors and prime factorization of 3290 and 3296. The biggest common factor number is the GCF number.
So the greatest common factor 3290 and 3296 is 2.

Also check out the Least Common Multiple of 3290 and 3296

Properties of GCF 3290 and 3296

(i) The GCF of 3290 and 3296 is associative

GCF of 3290 and 3296 = GCF of 3296 and 3290

Related Greatest Common Factor of 3290

Related Greatest Common Factor of 3296

Frequently Asked Questions on GCF of 3290 and 3296

1. What is the GCF of 3290 and 3296?

Answer: GCF of 3290 and 3296 is 2.

2. What are the Factors of 3290?

Answer: Factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290. There are 16 integers that are factors of 3290. The greatest factor of 3290 is 3290.

3. What are the Factors of 3296?

Answer: Factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296. There are 12 integers that are factors of 3296. The greatest factor of 3296 is 3296.

4. How to Find the GCF of 3290 and 3296?

Answer:

Greatest Common Factor of 3290 and 3296 = 2

Step 1: Find the prime factorization of 3290

3290 = 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 3296

3296 = 2 x 2 x 2 x 2 x 2 x 103

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3290 and 3296 is 2