Greatest Common Factor of 40000 and 40008

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 40000, 40008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40000 and 40008 is 8.

GCF(40000,40008) = 8

GCF of 40000 and 40008

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

GCF of:
and

Greatest Common Factor of 40000 and 40008

GCF of 40000 and 40008 is 8

Prime Factorization of 40000


2 40000
2 20000
2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 40000 are 2,5. Prime factorization of 40000 in exponential form is:

40000 = 26×54

Prime Factorization of 40008


2 40008
2 20004
2 10002
3 5001
1667 1667
1

Prime factors of 40008 are 2,3,1667. Prime factorization of 40008 in exponential form is:

40008 = 23×31×16671

∴ So by taking common prime factors GCF of 40000 and 40008 is 8

Greatest Common Factor of 40000 and 40008 by matching factors method

Factors of 40000

List of positive integer factors of 40000 that divides 40000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,625,800,1000,1250,1600,2000,2500,4000,5000,8000,10000,20000,40000

Factors of 40008

List of positive integer factors of 40008 that divides 40008 without a remainder.

1,2,3,4,6,8,12,24,1667,3334,5001,6668,10002,13336,20004,40008

Greatest Common Factor

We found the factors and prime factorization of 40000 and 40008. The biggest common factor number is the GCF number.
So the greatest common factor 40000 and 40008 is 8.

Also check out the Least Common Multiple of 40000 and 40008

Properties of GCF 40000 and 40008

(i) The GCF of 40000 and 40008 is associative

GCF of 40000 and 40008 = GCF of 40008 and 40000

Related Greatest Common Factor of 40000

Related Greatest Common Factor of 40008

Frequently Asked Questions on GCF of 40000 and 40008

1. What is the GCF of 40000 and 40008?

Answer: GCF of 40000 and 40008 is 8.

2. What are the Factors of 40000?

Answer: Factors of 40000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000, 40000. There are 35 integers that are factors of 40000. The greatest factor of 40000 is 40000.

3. What are the Factors of 40008?

Answer: Factors of 40008 are 1, 2, 3, 4, 6, 8, 12, 24, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 40008. There are 16 integers that are factors of 40008. The greatest factor of 40008 is 40008.

4. How to Find the GCF of 40000 and 40008?

Answer:

Greatest Common Factor of 40000 and 40008 = 8

Step 1: Find the prime factorization of 40000

40000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 40008

40008 = 2 x 2 x 2 x 3 x 1667

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 40000 and 40008 is 8