Greatest Common Factor of 8400 and 8406

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 8400, 8406 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8400 and 8406 is 6.

GCF(8400,8406) = 6

GCF of 8400 and 8406

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

GCF of:
and

Greatest Common Factor of 8400 and 8406

GCF of 8400 and 8406 is 6

Prime Factorization of 8400


2 8400
2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 8400 are 2,3,5,7. Prime factorization of 8400 in exponential form is:

8400 = 24×31×52×71

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

∴ So by taking common prime factors GCF of 8400 and 8406 is 6

Greatest Common Factor of 8400 and 8406 by matching factors method

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

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

Greatest Common Factor

We found the factors and prime factorization of 8400 and 8406. The biggest common factor number is the GCF number.
So the greatest common factor 8400 and 8406 is 6.

Also check out the Least Common Multiple of 8400 and 8406

Properties of GCF 8400 and 8406

(i) The GCF of 8400 and 8406 is associative

GCF of 8400 and 8406 = GCF of 8406 and 8400

Related Greatest Common Factor of 8400

Related Greatest Common Factor of 8406

Frequently Asked Questions on GCF of 8400 and 8406

1. What is the GCF of 8400 and 8406?

Answer: GCF of 8400 and 8406 is 6.

2. What are the Factors of 8400?

Answer: Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. There are 60 integers that are factors of 8400. The greatest factor of 8400 is 8400.

3. 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.

4. How to Find the GCF of 8400 and 8406?

Answer:

Greatest Common Factor of 8400 and 8406 = 6

Step 1: Find the prime factorization of 8400

8400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 8406

8406 = 2 x 3 x 3 x 467

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8400 and 8406 is 6