Greatest Common Factor of 3358 and 3362

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 3358, 3362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3358 and 3362 is 2.

GCF(3358,3362) = 2

GCF of 3358 and 3362

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

GCF of:
and

Greatest Common Factor of 3358 and 3362

GCF of 3358 and 3362 is 2

Prime Factorization of 3358


2 3358
23 1679
73 73
1

Prime factors of 3358 are 2,23,73. Prime factorization of 3358 in exponential form is:

3358 = 21×231×731

Prime Factorization of 3362


2 3362
41 1681
41 41
1

Prime factors of 3362 are 2,41. Prime factorization of 3362 in exponential form is:

3362 = 21×412

∴ So by taking common prime factors GCF of 3358 and 3362 is 2

Greatest Common Factor of 3358 and 3362 by matching factors method

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1,2,23,46,73,146,1679,3358

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors and prime factorization of 3358 and 3362. The biggest common factor number is the GCF number.
So the greatest common factor 3358 and 3362 is 2.

Also check out the Least Common Multiple of 3358 and 3362

Properties of GCF 3358 and 3362

(i) The GCF of 3358 and 3362 is associative

GCF of 3358 and 3362 = GCF of 3362 and 3358

Related Greatest Common Factor of 3358

Related Greatest Common Factor of 3362

Frequently Asked Questions on GCF of 3358 and 3362

1. What is the GCF of 3358 and 3362?

Answer: GCF of 3358 and 3362 is 2.

2. What are the Factors of 3358?

Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.

3. What are the Factors of 3362?

Answer: Factors of 3362 are 1, 2, 41, 82, 1681, 3362. There are 6 integers that are factors of 3362. The greatest factor of 3362 is 3362.

4. How to Find the GCF of 3358 and 3362?

Answer:

Greatest Common Factor of 3358 and 3362 = 2

Step 1: Find the prime factorization of 3358

3358 = 2 x 23 x 73

Step 2: Find the prime factorization of 3362

3362 = 2 x 41 x 41

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 3358 and 3362 is 2