Greatest Common Factor of 42000 and 42008

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, 42008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42000 and 42008 is 8.

GCF(42000,42008) = 8

GCF of 42000 and 42008

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

GCF of:
and

Greatest Common Factor of 42000 and 42008

GCF of 42000 and 42008 is 8

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 42008


2 42008
2 21004
2 10502
59 5251
89 89
1

Prime factors of 42008 are 2,59,89. Prime factorization of 42008 in exponential form is:

42008 = 23×591×891

∴ So by taking common prime factors GCF of 42000 and 42008 is 8

Greatest Common Factor of 42000 and 42008 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 42008

List of positive integer factors of 42008 that divides 42008 without a remainder.

1,2,4,8,59,89,118,178,236,356,472,712,5251,10502,21004,42008

Greatest Common Factor

We found the factors and prime factorization of 42000 and 42008. The biggest common factor number is the GCF number.
So the greatest common factor 42000 and 42008 is 8.

Also check out the Least Common Multiple of 42000 and 42008

Properties of GCF 42000 and 42008

(i) The GCF of 42000 and 42008 is associative

GCF of 42000 and 42008 = GCF of 42008 and 42000

Related Greatest Common Factor of 42000

Related Greatest Common Factor of 42008

Frequently Asked Questions on GCF of 42000 and 42008

1. What is the GCF of 42000 and 42008?

Answer: GCF of 42000 and 42008 is 8.

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 42008?

Answer: Factors of 42008 are 1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008. There are 16 integers that are factors of 42008. The greatest factor of 42008 is 42008.

4. How to Find the GCF of 42000 and 42008?

Answer:

Greatest Common Factor of 42000 and 42008 = 8

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 42008

42008 = 2 x 2 x 2 x 59 x 89

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 42000 and 42008 is 8