Greatest Common Factor of 7000 and 7008

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 7000, 7008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7000 and 7008 is 8.

GCF(7000,7008) = 8

GCF of 7000 and 7008

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

GCF of:
and

Greatest Common Factor of 7000 and 7008

GCF of 7000 and 7008 is 8

Prime Factorization of 7000


2 7000
2 3500
2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 7000 are 2,5,7. Prime factorization of 7000 in exponential form is:

7000 = 23×53×71

Prime Factorization of 7008


2 7008
2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 7008 are 2,3,73. Prime factorization of 7008 in exponential form is:

7008 = 25×31×731

∴ So by taking common prime factors GCF of 7000 and 7008 is 8

Greatest Common Factor of 7000 and 7008 by matching factors method

Factors of 7000

List of positive integer factors of 7000 that divides 7000 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000

Factors of 7008

List of positive integer factors of 7008 that divides 7008 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008

Greatest Common Factor

We found the factors and prime factorization of 7000 and 7008. The biggest common factor number is the GCF number.
So the greatest common factor 7000 and 7008 is 8.

Also check out the Least Common Multiple of 7000 and 7008

Properties of GCF 7000 and 7008

(i) The GCF of 7000 and 7008 is associative

GCF of 7000 and 7008 = GCF of 7008 and 7000

Related Greatest Common Factor of 7000

Related Greatest Common Factor of 7008

Frequently Asked Questions on GCF of 7000 and 7008

1. What is the GCF of 7000 and 7008?

Answer: GCF of 7000 and 7008 is 8.

2. What are the Factors of 7000?

Answer: Factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000. There are 32 integers that are factors of 7000. The greatest factor of 7000 is 7000.

3. What are the Factors of 7008?

Answer: Factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008. There are 24 integers that are factors of 7008. The greatest factor of 7008 is 7008.

4. How to Find the GCF of 7000 and 7008?

Answer:

Greatest Common Factor of 7000 and 7008 = 8

Step 1: Find the prime factorization of 7000

7000 = 2 x 2 x 2 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 7008

7008 = 2 x 2 x 2 x 2 x 2 x 3 x 73

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 7000 and 7008 is 8