Greatest Common Factor of 7000 and 7007

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, 7007 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7000 and 7007 is 7.

GCF(7000,7007) = 7

GCF of 7000 and 7007

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

GCF of:
and

Greatest Common Factor of 7000 and 7007

GCF of 7000 and 7007 is 7

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 7007


7 7007
7 1001
11 143
13 13
1

Prime factors of 7007 are 7,11,13. Prime factorization of 7007 in exponential form is:

7007 = 72×111×131

∴ So by taking common prime factors GCF of 7000 and 7007 is 7

Greatest Common Factor of 7000 and 7007 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 7007

List of positive integer factors of 7007 that divides 7007 without a remainder.

1,7,11,13,49,77,91,143,539,637,1001,7007

Greatest Common Factor

We found the factors and prime factorization of 7000 and 7007. The biggest common factor number is the GCF number.
So the greatest common factor 7000 and 7007 is 7.

Also check out the Least Common Multiple of 7000 and 7007

Properties of GCF 7000 and 7007

(i) The GCF of 7000 and 7007 is associative

GCF of 7000 and 7007 = GCF of 7007 and 7000

Related Greatest Common Factor of 7000

Related Greatest Common Factor of 7007

Frequently Asked Questions on GCF of 7000 and 7007

1. What is the GCF of 7000 and 7007?

Answer: GCF of 7000 and 7007 is 7.

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 7007?

Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.

4. How to Find the GCF of 7000 and 7007?

Answer:

Greatest Common Factor of 7000 and 7007 = 7

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 7007

7007 = 7 x 7 x 11 x 13

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7000 and 7007 is 7