Greatest Common Factor of 42000 and 42004

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, 42004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42000 and 42004 is 4.

GCF(42000,42004) = 4

GCF of 42000 and 42004

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

GCF of:
and

Greatest Common Factor of 42000 and 42004

GCF of 42000 and 42004 is 4

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 42004


2 42004
2 21002
10501 10501
1

Prime factors of 42004 are 2,10501. Prime factorization of 42004 in exponential form is:

42004 = 22×105011

∴ So by taking common prime factors GCF of 42000 and 42004 is 4

Greatest Common Factor of 42000 and 42004 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 42004

List of positive integer factors of 42004 that divides 42004 without a remainder.

1,2,4,10501,21002,42004

Greatest Common Factor

We found the factors and prime factorization of 42000 and 42004. The biggest common factor number is the GCF number.
So the greatest common factor 42000 and 42004 is 4.

Also check out the Least Common Multiple of 42000 and 42004

Properties of GCF 42000 and 42004

(i) The GCF of 42000 and 42004 is associative

GCF of 42000 and 42004 = GCF of 42004 and 42000

Related Greatest Common Factor of 42000

Related Greatest Common Factor of 42004

Frequently Asked Questions on GCF of 42000 and 42004

1. What is the GCF of 42000 and 42004?

Answer: GCF of 42000 and 42004 is 4.

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 42004?

Answer: Factors of 42004 are 1, 2, 4, 10501, 21002, 42004. There are 6 integers that are factors of 42004. The greatest factor of 42004 is 42004.

4. How to Find the GCF of 42000 and 42004?

Answer:

Greatest Common Factor of 42000 and 42004 = 4

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 42004

42004 = 2 x 2 x 10501

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 42000 and 42004 is 4