Greatest Common Factor of 7000 and 7005

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, 7005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7000 and 7005 is 5.

GCF(7000,7005) = 5

GCF of 7000 and 7005

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

GCF of:
and

Greatest Common Factor of 7000 and 7005

GCF of 7000 and 7005 is 5

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 7005


3 7005
5 2335
467 467
1

Prime factors of 7005 are 3,5,467. Prime factorization of 7005 in exponential form is:

7005 = 31×51×4671

∴ So by taking common prime factors GCF of 7000 and 7005 is 5

Greatest Common Factor of 7000 and 7005 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 7005

List of positive integer factors of 7005 that divides 7005 without a remainder.

1,3,5,15,467,1401,2335,7005

Greatest Common Factor

We found the factors and prime factorization of 7000 and 7005. The biggest common factor number is the GCF number.
So the greatest common factor 7000 and 7005 is 5.

Also check out the Least Common Multiple of 7000 and 7005

Properties of GCF 7000 and 7005

(i) The GCF of 7000 and 7005 is associative

GCF of 7000 and 7005 = GCF of 7005 and 7000

Related Greatest Common Factor of 7000

Related Greatest Common Factor of 7005

Frequently Asked Questions on GCF of 7000 and 7005

1. What is the GCF of 7000 and 7005?

Answer: GCF of 7000 and 7005 is 5.

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 7005?

Answer: Factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005. There are 8 integers that are factors of 7005. The greatest factor of 7005 is 7005.

4. How to Find the GCF of 7000 and 7005?

Answer:

Greatest Common Factor of 7000 and 7005 = 5

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 7005

7005 = 3 x 5 x 467

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7000 and 7005 is 5