Greatest Common Factor of 8406 and 8413

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 8406, 8413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8406 and 8413 is 1.

GCF(8406,8413) = 1

GCF of 8406 and 8413

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

GCF of:
and

Greatest Common Factor of 8406 and 8413

GCF of 8406 and 8413 is 1

Prime Factorization of 8406


2 8406
3 4203
3 1401
467 467
1

Prime factors of 8406 are 2,3,467. Prime factorization of 8406 in exponential form is:

8406 = 21×32×4671

Prime Factorization of 8413


47 8413
179 179
1

Prime factors of 8413 are 47,179. Prime factorization of 8413 in exponential form is:

8413 = 471×1791

∴ So by taking common prime factors GCF of 8406 and 8413 is 1

Greatest Common Factor of 8406 and 8413 by matching factors method

Factors of 8406

List of positive integer factors of 8406 that divides 8406 without a remainder.

1,2,3,6,9,18,467,934,1401,2802,4203,8406

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors and prime factorization of 8406 and 8413. The biggest common factor number is the GCF number.
So the greatest common factor 8406 and 8413 is 1.

Also check out the Least Common Multiple of 8406 and 8413

Properties of GCF 8406 and 8413

(i) The GCF of 8406 and 8413 is associative

GCF of 8406 and 8413 = GCF of 8413 and 8406

Related Greatest Common Factor of 8406

Related Greatest Common Factor of 8413

Frequently Asked Questions on GCF of 8406 and 8413

1. What is the GCF of 8406 and 8413?

Answer: GCF of 8406 and 8413 is 1.

2. What are the Factors of 8406?

Answer: Factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406. There are 12 integers that are factors of 8406. The greatest factor of 8406 is 8406.

3. What are the Factors of 8413?

Answer: Factors of 8413 are 1, 47, 179, 8413. There are 4 integers that are factors of 8413. The greatest factor of 8413 is 8413.

4. How to Find the GCF of 8406 and 8413?

Answer:

Greatest Common Factor of 8406 and 8413 = 1

Step 1: Find the prime factorization of 8406

8406 = 2 x 3 x 3 x 467

Step 2: Find the prime factorization of 8413

8413 = 47 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 8406 and 8413 is 1