Greatest Common Factor of 8400 and 8408

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, 8408 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8400 and 8408 is 8.

GCF(8400,8408) = 8

GCF of 8400 and 8408

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

GCF of:
and

Greatest Common Factor of 8400 and 8408

GCF of 8400 and 8408 is 8

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 8408


2 8408
2 4204
2 2102
1051 1051
1

Prime factors of 8408 are 2,1051. Prime factorization of 8408 in exponential form is:

8408 = 23×10511

∴ So by taking common prime factors GCF of 8400 and 8408 is 8

Greatest Common Factor of 8400 and 8408 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 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1,2,4,8,1051,2102,4204,8408

Greatest Common Factor

We found the factors and prime factorization of 8400 and 8408. The biggest common factor number is the GCF number.
So the greatest common factor 8400 and 8408 is 8.

Also check out the Least Common Multiple of 8400 and 8408

Properties of GCF 8400 and 8408

(i) The GCF of 8400 and 8408 is associative

GCF of 8400 and 8408 = GCF of 8408 and 8400

Related Greatest Common Factor of 8400

Related Greatest Common Factor of 8408

Frequently Asked Questions on GCF of 8400 and 8408

1. What is the GCF of 8400 and 8408?

Answer: GCF of 8400 and 8408 is 8.

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 8408?

Answer: Factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408. There are 8 integers that are factors of 8408. The greatest factor of 8408 is 8408.

4. How to Find the GCF of 8400 and 8408?

Answer:

Greatest Common Factor of 8400 and 8408 = 8

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 8408

8408 = 2 x 2 x 2 x 1051

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8400 and 8408 is 8