Greatest Common Factor of 42000 and 42006

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 42000, 42006 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42000 and 42006 is 6.

GCF(42000,42006) = 6

GCF of 42000 and 42006

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

GCF of:
and

Greatest Common Factor of 42000 and 42006

GCF of 42000 and 42006 is 6

Prime Factorization of 42000


2 42000
2 21000
2 10500
2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 42000 are 2,3,5,7. Prime factorization of 42000 in exponential form is:

42000 = 24×31×53×71

Prime Factorization of 42006


2 42006
3 21003
7001 7001
1

Prime factors of 42006 are 2,3,7001. Prime factorization of 42006 in exponential form is:

42006 = 21×31×70011

∴ So by taking common prime factors GCF of 42000 and 42006 is 6

Greatest Common Factor of 42000 and 42006 by matching factors method

Factors of 42000

List of positive integer factors of 42000 that divides 42000 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,125,140,150,168,175,200,210,240,250,280,300,336,350,375,400,420,500,525,560,600,700,750,840,875,1000,1050,1200,1400,1500,1680,1750,2000,2100,2625,2800,3000,3500,4200,5250,6000,7000,8400,10500,14000,21000,42000

Factors of 42006

List of positive integer factors of 42006 that divides 42006 without a remainder.

1,2,3,6,7001,14002,21003,42006

Greatest Common Factor

We found the factors and prime factorization of 42000 and 42006. The biggest common factor number is the GCF number.
So the greatest common factor 42000 and 42006 is 6.

Also check out the Least Common Multiple of 42000 and 42006

Properties of GCF 42000 and 42006

(i) The GCF of 42000 and 42006 is associative

GCF of 42000 and 42006 = GCF of 42006 and 42000

Related Greatest Common Factor of 42000

Related Greatest Common Factor of 42006

Frequently Asked Questions on GCF of 42000 and 42006

1. What is the GCF of 42000 and 42006?

Answer: GCF of 42000 and 42006 is 6.

2. What are the Factors of 42000?

Answer: Factors of 42000 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, 125, 140, 150, 168, 175, 200, 210, 240, 250, 280, 300, 336, 350, 375, 400, 420, 500, 525, 560, 600, 700, 750, 840, 875, 1000, 1050, 1200, 1400, 1500, 1680, 1750, 2000, 2100, 2625, 2800, 3000, 3500, 4200, 5250, 6000, 7000, 8400, 10500, 14000, 21000, 42000. There are 80 integers that are factors of 42000. The greatest factor of 42000 is 42000.

3. What are the Factors of 42006?

Answer: Factors of 42006 are 1, 2, 3, 6, 7001, 14002, 21003, 42006. There are 8 integers that are factors of 42006. The greatest factor of 42006 is 42006.

4. How to Find the GCF of 42000 and 42006?

Answer:

Greatest Common Factor of 42000 and 42006 = 6

Step 1: Find the prime factorization of 42000

42000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 42006

42006 = 2 x 3 x 7001

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 42000 and 42006 is 6