Greatest Common Factor of 3407 and 3414

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 3407, 3414 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3407 and 3414 is 1.

GCF(3407,3414) = 1

GCF of 3407 and 3414

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

GCF of:
and

Greatest Common Factor of 3407 and 3414

GCF of 3407 and 3414 is 1

Prime Factorization of 3407


3407 3407
1

Prime factors of 3407 are 3407. Prime factorization of 3407 in exponential form is:

3407 = 34071

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2.Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

∴ So by taking common prime factors GCF of 3407 and 3414 is 1

Greatest Common Factor of 3407 and 3414 by matching factors method

Factors of 3407

List of positive integer factors of 3407 that divides 3407 without a remainder.

1,3407

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Greatest Common Factor

We found the factors and prime factorization of 3407 and 3414. The biggest common factor number is the GCF number.
So the greatest common factor 3407 and 3414 is 1.

Also check out the Least Common Multiple of 3407 and 3414

Properties of GCF 3407 and 3414

(i) The GCF of 3407 and 3414 is associative

GCF of 3407 and 3414 = GCF of 3414 and 3407

Related Greatest Common Factor of 3407

Related Greatest Common Factor of 3414

Frequently Asked Questions on GCF of 3407 and 3414

1. What is the GCF of 3407 and 3414?

Answer: GCF of 3407 and 3414 is 1.

2. What are the Factors of 3407?

Answer: Factors of 3407 are 1, 3407. There are 2 integers that are factors of 3407. The greatest factor of 3407 is 3407.

3. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

4. How to Find the GCF of 3407 and 3414?

Answer:

Greatest Common Factor of 3407 and 3414 = 1

Step 1: Find the prime factorization of 3407

3407 = 3407

Step 2: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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 3407 and 3414 is 1