Greatest Common Factor of 3396 and 3401

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 3396, 3401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3396 and 3401 is 1.

GCF(3396,3401) = 1

GCF of 3396 and 3401

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

GCF of:
and

Greatest Common Factor of 3396 and 3401

GCF of 3396 and 3401 is 1

Prime Factorization of 3396


2 3396
2 1698
3 849
283 283
1

Prime factors of 3396 are 2,3,283. Prime factorization of 3396 in exponential form is:

3396 = 22×31×2831

Prime Factorization of 3401


19 3401
179 179
1

Prime factors of 3401 are 19,179. Prime factorization of 3401 in exponential form is:

3401 = 191×1791

∴ So by taking common prime factors GCF of 3396 and 3401 is 1

Greatest Common Factor of 3396 and 3401 by matching factors method

Factors of 3396

List of positive integer factors of 3396 that divides 3396 without a remainder.

1,2,3,4,6,12,283,566,849,1132,1698,3396

Factors of 3401

List of positive integer factors of 3401 that divides 3401 without a remainder.

1,19,179,3401

Greatest Common Factor

We found the factors and prime factorization of 3396 and 3401. The biggest common factor number is the GCF number.
So the greatest common factor 3396 and 3401 is 1.

Also check out the Least Common Multiple of 3396 and 3401

Properties of GCF 3396 and 3401

(i) The GCF of 3396 and 3401 is associative

GCF of 3396 and 3401 = GCF of 3401 and 3396

Related Greatest Common Factor of 3396

Related Greatest Common Factor of 3401

Frequently Asked Questions on GCF of 3396 and 3401

1. What is the GCF of 3396 and 3401?

Answer: GCF of 3396 and 3401 is 1.

2. What are the Factors of 3396?

Answer: Factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396. There are 12 integers that are factors of 3396. The greatest factor of 3396 is 3396.

3. What are the Factors of 3401?

Answer: Factors of 3401 are 1, 19, 179, 3401. There are 4 integers that are factors of 3401. The greatest factor of 3401 is 3401.

4. How to Find the GCF of 3396 and 3401?

Answer:

Greatest Common Factor of 3396 and 3401 = 1

Step 1: Find the prime factorization of 3396

3396 = 2 x 2 x 3 x 283

Step 2: Find the prime factorization of 3401

3401 = 19 x 179

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 3396 and 3401 is 1