Greatest Common Factor of 7004 and 7006

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 7004, 7006 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7004 and 7006 is 2.

GCF(7004,7006) = 2

GCF of 7004 and 7006

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

GCF of:
and

Greatest Common Factor of 7004 and 7006

GCF of 7004 and 7006 is 2

Prime Factorization of 7004


2 7004
2 3502
17 1751
103 103
1

Prime factors of 7004 are 2,17,103. Prime factorization of 7004 in exponential form is:

7004 = 22×171×1031

Prime Factorization of 7006


2 7006
31 3503
113 113
1

Prime factors of 7006 are 2,31,113. Prime factorization of 7006 in exponential form is:

7006 = 21×311×1131

∴ So by taking common prime factors GCF of 7004 and 7006 is 2

Greatest Common Factor of 7004 and 7006 by matching factors method

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Greatest Common Factor

We found the factors and prime factorization of 7004 and 7006. The biggest common factor number is the GCF number.
So the greatest common factor 7004 and 7006 is 2.

Also check out the Least Common Multiple of 7004 and 7006

Properties of GCF 7004 and 7006

(i) The GCF of 7004 and 7006 is associative

GCF of 7004 and 7006 = GCF of 7006 and 7004

Related Greatest Common Factor of 7004

Related Greatest Common Factor of 7006

Frequently Asked Questions on GCF of 7004 and 7006

1. What is the GCF of 7004 and 7006?

Answer: GCF of 7004 and 7006 is 2.

2. What are the Factors of 7004?

Answer: Factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004. There are 12 integers that are factors of 7004. The greatest factor of 7004 is 7004.

3. What are the Factors of 7006?

Answer: Factors of 7006 are 1, 2, 31, 62, 113, 226, 3503, 7006. There are 8 integers that are factors of 7006. The greatest factor of 7006 is 7006.

4. How to Find the GCF of 7004 and 7006?

Answer:

Greatest Common Factor of 7004 and 7006 = 2

Step 1: Find the prime factorization of 7004

7004 = 2 x 2 x 17 x 103

Step 2: Find the prime factorization of 7006

7006 = 2 x 31 x 113

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7004 and 7006 is 2