Greatest Common Factor of 8409 and 8412

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 8409, 8412 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8409 and 8412 is 3.

GCF(8409,8412) = 3

GCF of 8409 and 8412

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

GCF of:
and

Greatest Common Factor of 8409 and 8412

GCF of 8409 and 8412 is 3

Prime Factorization of 8409


3 8409
2803 2803
1

Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:

8409 = 31×28031

Prime Factorization of 8412


2 8412
2 4206
3 2103
701 701
1

Prime factors of 8412 are 2,3,701. Prime factorization of 8412 in exponential form is:

8412 = 22×31×7011

∴ So by taking common prime factors GCF of 8409 and 8412 is 3

Greatest Common Factor of 8409 and 8412 by matching factors method

Factors of 8409

List of positive integer factors of 8409 that divides 8409 without a remainder.

1,3,2803,8409

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors and prime factorization of 8409 and 8412. The biggest common factor number is the GCF number.
So the greatest common factor 8409 and 8412 is 3.

Also check out the Least Common Multiple of 8409 and 8412

Properties of GCF 8409 and 8412

(i) The GCF of 8409 and 8412 is associative

GCF of 8409 and 8412 = GCF of 8412 and 8409

Related Greatest Common Factor of 8409

Related Greatest Common Factor of 8412

Frequently Asked Questions on GCF of 8409 and 8412

1. What is the GCF of 8409 and 8412?

Answer: GCF of 8409 and 8412 is 3.

2. What are the Factors of 8409?

Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.

3. What are the Factors of 8412?

Answer: Factors of 8412 are 1, 2, 3, 4, 6, 12, 701, 1402, 2103, 2804, 4206, 8412. There are 12 integers that are factors of 8412. The greatest factor of 8412 is 8412.

4. How to Find the GCF of 8409 and 8412?

Answer:

Greatest Common Factor of 8409 and 8412 = 3

Step 1: Find the prime factorization of 8409

8409 = 3 x 2803

Step 2: Find the prime factorization of 8412

8412 = 2 x 2 x 3 x 701

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8409 and 8412 is 3