Greatest Common Factor of 7006 and 7014

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 7006, 7014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7006 and 7014 is 2.

GCF(7006,7014) = 2

GCF of 7006 and 7014

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

GCF of:
and

Greatest Common Factor of 7006 and 7014

GCF of 7006 and 7014 is 2

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

Prime Factorization of 7014


2 7014
3 3507
7 1169
167 167
1

Prime factors of 7014 are 2,3,7,167. Prime factorization of 7014 in exponential form is:

7014 = 21×31×71×1671

∴ So by taking common prime factors GCF of 7006 and 7014 is 2

Greatest Common Factor of 7006 and 7014 by matching factors method

Factors of 7006

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

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

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors and prime factorization of 7006 and 7014. The biggest common factor number is the GCF number.
So the greatest common factor 7006 and 7014 is 2.

Also check out the Least Common Multiple of 7006 and 7014

Properties of GCF 7006 and 7014

(i) The GCF of 7006 and 7014 is associative

GCF of 7006 and 7014 = GCF of 7014 and 7006

Related Greatest Common Factor of 7006

Related Greatest Common Factor of 7014

Frequently Asked Questions on GCF of 7006 and 7014

1. What is the GCF of 7006 and 7014?

Answer: GCF of 7006 and 7014 is 2.

2. 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.

3. What are the Factors of 7014?

Answer: Factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014. There are 16 integers that are factors of 7014. The greatest factor of 7014 is 7014.

4. How to Find the GCF of 7006 and 7014?

Answer:

Greatest Common Factor of 7006 and 7014 = 2

Step 1: Find the prime factorization of 7006

7006 = 2 x 31 x 113

Step 2: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

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 7006 and 7014 is 2