Greatest Common Factor of 3419 and 3421

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 3419, 3421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3419 and 3421 is 1.

GCF(3419,3421) = 1

GCF of 3419 and 3421

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

GCF of:
and

Greatest Common Factor of 3419 and 3421

GCF of 3419 and 3421 is 1

Prime Factorization of 3419


13 3419
263 263
1

Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:

3419 = 131×2631

Prime Factorization of 3421


11 3421
311 311
1

Prime factors of 3421 are 11,311. Prime factorization of 3421 in exponential form is:

3421 = 111×3111

∴ So by taking common prime factors GCF of 3419 and 3421 is 1

Greatest Common Factor of 3419 and 3421 by matching factors method

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1,13,263,3419

Factors of 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1,11,311,3421

Greatest Common Factor

We found the factors and prime factorization of 3419 and 3421. The biggest common factor number is the GCF number.
So the greatest common factor 3419 and 3421 is 1.

Also check out the Least Common Multiple of 3419 and 3421

Properties of GCF 3419 and 3421

(i) The GCF of 3419 and 3421 is associative

GCF of 3419 and 3421 = GCF of 3421 and 3419

Related Greatest Common Factor of 3419

Related Greatest Common Factor of 3421

Frequently Asked Questions on GCF of 3419 and 3421

1. What is the GCF of 3419 and 3421?

Answer: GCF of 3419 and 3421 is 1.

2. What are the Factors of 3419?

Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.

3. What are the Factors of 3421?

Answer: Factors of 3421 are 1, 11, 311, 3421. There are 4 integers that are factors of 3421. The greatest factor of 3421 is 3421.

4. How to Find the GCF of 3419 and 3421?

Answer:

Greatest Common Factor of 3419 and 3421 = 1

Step 1: Find the prime factorization of 3419

3419 = 13 x 263

Step 2: Find the prime factorization of 3421

3421 = 11 x 311

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 3419 and 3421 is 1