Greatest Common Factor of 6996 and 7000

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 6996, 7000 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6996 and 7000 is 4.

GCF(6996,7000) = 4

GCF of 6996 and 7000

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

GCF of:
and

Greatest Common Factor of 6996 and 7000

GCF of 6996 and 7000 is 4

Prime Factorization of 6996


2 6996
2 3498
3 1749
11 583
53 53
1

Prime factors of 6996 are 2,3,11,53. Prime factorization of 6996 in exponential form is:

6996 = 22×31×111×531

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

∴ So by taking common prime factors GCF of 6996 and 7000 is 4

Greatest Common Factor of 6996 and 7000 by matching factors method

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996

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

Greatest Common Factor

We found the factors and prime factorization of 6996 and 7000. The biggest common factor number is the GCF number.
So the greatest common factor 6996 and 7000 is 4.

Also check out the Least Common Multiple of 6996 and 7000

Properties of GCF 6996 and 7000

(i) The GCF of 6996 and 7000 is associative

GCF of 6996 and 7000 = GCF of 7000 and 6996

Related Greatest Common Factor of 6996

Related Greatest Common Factor of 7000

Frequently Asked Questions on GCF of 6996 and 7000

1. What is the GCF of 6996 and 7000?

Answer: GCF of 6996 and 7000 is 4.

2. What are the Factors of 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

3. 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.

4. How to Find the GCF of 6996 and 7000?

Answer:

Greatest Common Factor of 6996 and 7000 = 4

Step 1: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 7000

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

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 6996 and 7000 is 4