Greatest Common Factor of 3290 and 3298

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, 3298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3290 and 3298 is 2.

GCF(3290,3298) = 2

GCF of 3290 and 3298

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

GCF of:
and

Greatest Common Factor of 3290 and 3298

GCF of 3290 and 3298 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 3298


2 3298
17 1649
97 97
1

Prime factors of 3298 are 2,17,97. Prime factorization of 3298 in exponential form is:

3298 = 21×171×971

∴ So by taking common prime factors GCF of 3290 and 3298 is 2

Greatest Common Factor of 3290 and 3298 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 3298

List of positive integer factors of 3298 that divides 3298 without a remainder.

1,2,17,34,97,194,1649,3298

Greatest Common Factor

We found the factors and prime factorization of 3290 and 3298. The biggest common factor number is the GCF number.
So the greatest common factor 3290 and 3298 is 2.

Also check out the Least Common Multiple of 3290 and 3298

Properties of GCF 3290 and 3298

(i) The GCF of 3290 and 3298 is associative

GCF of 3290 and 3298 = GCF of 3298 and 3290

Related Greatest Common Factor of 3290

Related Greatest Common Factor of 3298

Frequently Asked Questions on GCF of 3290 and 3298

1. What is the GCF of 3290 and 3298?

Answer: GCF of 3290 and 3298 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 3298?

Answer: Factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298. There are 8 integers that are factors of 3298. The greatest factor of 3298 is 3298.

4. How to Find the GCF of 3290 and 3298?

Answer:

Greatest Common Factor of 3290 and 3298 = 2

Step 1: Find the prime factorization of 3290

3290 = 2 x 5 x 7 x 47

Step 2: Find the prime factorization of 3298

3298 = 2 x 17 x 97

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 3298 is 2