Greatest Common Factor of 3398 and 3403

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 3398, 3403 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3398 and 3403 is 1.

GCF(3398,3403) = 1

GCF of 3398 and 3403

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

GCF of:
and

Greatest Common Factor of 3398 and 3403

GCF of 3398 and 3403 is 1

Prime Factorization of 3398


2 3398
1699 1699
1

Prime factors of 3398 are 2,1699. Prime factorization of 3398 in exponential form is:

3398 = 21×16991

Prime Factorization of 3403


41 3403
83 83
1

Prime factors of 3403 are 41,83. Prime factorization of 3403 in exponential form is:

3403 = 411×831

∴ So by taking common prime factors GCF of 3398 and 3403 is 1

Greatest Common Factor of 3398 and 3403 by matching factors method

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1,2,1699,3398

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1,41,83,3403

Greatest Common Factor

We found the factors and prime factorization of 3398 and 3403. The biggest common factor number is the GCF number.
So the greatest common factor 3398 and 3403 is 1.

Also check out the Least Common Multiple of 3398 and 3403

Properties of GCF 3398 and 3403

(i) The GCF of 3398 and 3403 is associative

GCF of 3398 and 3403 = GCF of 3403 and 3398

Related Greatest Common Factor of 3398

Related Greatest Common Factor of 3403

Frequently Asked Questions on GCF of 3398 and 3403

1. What is the GCF of 3398 and 3403?

Answer: GCF of 3398 and 3403 is 1.

2. What are the Factors of 3398?

Answer: Factors of 3398 are 1, 2, 1699, 3398. There are 4 integers that are factors of 3398. The greatest factor of 3398 is 3398.

3. What are the Factors of 3403?

Answer: Factors of 3403 are 1, 41, 83, 3403. There are 4 integers that are factors of 3403. The greatest factor of 3403 is 3403.

4. How to Find the GCF of 3398 and 3403?

Answer:

Greatest Common Factor of 3398 and 3403 = 1

Step 1: Find the prime factorization of 3398

3398 = 2 x 1699

Step 2: Find the prime factorization of 3403

3403 = 41 x 83

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 3398 and 3403 is 1