Greatest Common Factor of 3294 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 3294, 3298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3294 and 3298 is 2.

GCF(3294,3298) = 2

GCF of 3294 and 3298

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

GCF of:
and

Greatest Common Factor of 3294 and 3298

GCF of 3294 and 3298 is 2

Prime Factorization of 3294


2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 3294 are 2,3,61. Prime factorization of 3294 in exponential form is:

3294 = 21×33×611

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 3294 and 3298 is 2

Greatest Common Factor of 3294 and 3298 by matching factors method

Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294

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 3294 and 3298. The biggest common factor number is the GCF number.
So the greatest common factor 3294 and 3298 is 2.

Also check out the Least Common Multiple of 3294 and 3298

Properties of GCF 3294 and 3298

(i) The GCF of 3294 and 3298 is associative

GCF of 3294 and 3298 = GCF of 3298 and 3294

Related Greatest Common Factor of 3294

Related Greatest Common Factor of 3298

Frequently Asked Questions on GCF of 3294 and 3298

1. What is the GCF of 3294 and 3298?

Answer: GCF of 3294 and 3298 is 2.

2. What are the Factors of 3294?

Answer: Factors of 3294 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647, 3294. There are 16 integers that are factors of 3294. The greatest factor of 3294 is 3294.

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 3294 and 3298?

Answer:

Greatest Common Factor of 3294 and 3298 = 2

Step 1: Find the prime factorization of 3294

3294 = 2 x 3 x 3 x 3 x 61

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 3294 and 3298 is 2