Greatest Common Factor of 3352 and 3358

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 3352, 3358 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3352 and 3358 is 2.

GCF(3352,3358) = 2

GCF of 3352 and 3358

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

GCF of:
and

Greatest Common Factor of 3352 and 3358

GCF of 3352 and 3358 is 2

Prime Factorization of 3352


2 3352
2 1676
2 838
419 419
1

Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:

3352 = 23×4191

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

∴ So by taking common prime factors GCF of 3352 and 3358 is 2

Greatest Common Factor of 3352 and 3358 by matching factors method

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1,2,4,8,419,838,1676,3352

Factors of 3358

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

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

Greatest Common Factor

We found the factors and prime factorization of 3352 and 3358. The biggest common factor number is the GCF number.
So the greatest common factor 3352 and 3358 is 2.

Also check out the Least Common Multiple of 3352 and 3358

Properties of GCF 3352 and 3358

(i) The GCF of 3352 and 3358 is associative

GCF of 3352 and 3358 = GCF of 3358 and 3352

Related Greatest Common Factor of 3352

Related Greatest Common Factor of 3358

Frequently Asked Questions on GCF of 3352 and 3358

1. What is the GCF of 3352 and 3358?

Answer: GCF of 3352 and 3358 is 2.

2. What are the Factors of 3352?

Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.

3. 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.

4. How to Find the GCF of 3352 and 3358?

Answer:

Greatest Common Factor of 3352 and 3358 = 2

Step 1: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

Step 2: Find the prime factorization of 3358

3358 = 2 x 23 x 73

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 3352 and 3358 is 2