Greatest Common Factor of 3358 and 3363

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, 3363 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3358 and 3363 is 1.

GCF(3358,3363) = 1

GCF of 3358 and 3363

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

GCF of:
and

Greatest Common Factor of 3358 and 3363

GCF of 3358 and 3363 is 1

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 3363


3 3363
19 1121
59 59
1

Prime factors of 3363 are 3,19,59. Prime factorization of 3363 in exponential form is:

3363 = 31×191×591

∴ So by taking common prime factors GCF of 3358 and 3363 is 1

Greatest Common Factor of 3358 and 3363 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 3363

List of positive integer factors of 3363 that divides 3363 without a remainder.

1,3,19,57,59,177,1121,3363

Greatest Common Factor

We found the factors and prime factorization of 3358 and 3363. The biggest common factor number is the GCF number.
So the greatest common factor 3358 and 3363 is 1.

Also check out the Least Common Multiple of 3358 and 3363

Properties of GCF 3358 and 3363

(i) The GCF of 3358 and 3363 is associative

GCF of 3358 and 3363 = GCF of 3363 and 3358

Related Greatest Common Factor of 3358

Related Greatest Common Factor of 3363

Frequently Asked Questions on GCF of 3358 and 3363

1. What is the GCF of 3358 and 3363?

Answer: GCF of 3358 and 3363 is 1.

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 3363?

Answer: Factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363. There are 8 integers that are factors of 3363. The greatest factor of 3363 is 3363.

4. How to Find the GCF of 3358 and 3363?

Answer:

Greatest Common Factor of 3358 and 3363 = 1

Step 1: Find the prime factorization of 3358

3358 = 2 x 23 x 73

Step 2: Find the prime factorization of 3363

3363 = 3 x 19 x 59

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3358 and 3363 is 1