Greatest Common Factor of 7010 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 7010, 7014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7010 and 7014 is 2.

GCF(7010,7014) = 2

GCF of 7010 and 7014

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

GCF of:
and

Greatest Common Factor of 7010 and 7014

GCF of 7010 and 7014 is 2

Prime Factorization of 7010


2 7010
5 3505
701 701
1

Prime factors of 7010 are 2,5,701. Prime factorization of 7010 in exponential form is:

7010 = 21×51×7011

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 7010 and 7014 is 2

Greatest Common Factor of 7010 and 7014 by matching factors method

Factors of 7010

List of positive integer factors of 7010 that divides 7010 without a remainder.

1,2,5,10,701,1402,3505,7010

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 7010 and 7014. The biggest common factor number is the GCF number.
So the greatest common factor 7010 and 7014 is 2.

Also check out the Least Common Multiple of 7010 and 7014

Properties of GCF 7010 and 7014

(i) The GCF of 7010 and 7014 is associative

GCF of 7010 and 7014 = GCF of 7014 and 7010

Related Greatest Common Factor of 7010

Related Greatest Common Factor of 7014

Frequently Asked Questions on GCF of 7010 and 7014

1. What is the GCF of 7010 and 7014?

Answer: GCF of 7010 and 7014 is 2.

2. What are the Factors of 7010?

Answer: Factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010. There are 8 integers that are factors of 7010. The greatest factor of 7010 is 7010.

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 7010 and 7014?

Answer:

Greatest Common Factor of 7010 and 7014 = 2

Step 1: Find the prime factorization of 7010

7010 = 2 x 5 x 701

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 7010 and 7014 is 2