Greatest Common Factor of 7014 and 7021

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 7014, 7021 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7014 and 7021 is 7.

GCF(7014,7021) = 7

GCF of 7014 and 7021

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

GCF of:
and

Greatest Common Factor of 7014 and 7021

GCF of 7014 and 7021 is 7

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

Prime Factorization of 7021


7 7021
17 1003
59 59
1

Prime factors of 7021 are 7,17,59. Prime factorization of 7021 in exponential form is:

7021 = 71×171×591

∴ So by taking common prime factors GCF of 7014 and 7021 is 7

Greatest Common Factor of 7014 and 7021 by matching factors method

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

Factors of 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1,7,17,59,119,413,1003,7021

Greatest Common Factor

We found the factors and prime factorization of 7014 and 7021. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7021 is 7.

Also check out the Least Common Multiple of 7014 and 7021

Properties of GCF 7014 and 7021

(i) The GCF of 7014 and 7021 is associative

GCF of 7014 and 7021 = GCF of 7021 and 7014

Related Greatest Common Factor of 7014

Related Greatest Common Factor of 7021

Frequently Asked Questions on GCF of 7014 and 7021

1. What is the GCF of 7014 and 7021?

Answer: GCF of 7014 and 7021 is 7.

2. 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.

3. What are the Factors of 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

4. How to Find the GCF of 7014 and 7021?

Answer:

Greatest Common Factor of 7014 and 7021 = 7

Step 1: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

Step 2: Find the prime factorization of 7021

7021 = 7 x 17 x 59

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 7014 and 7021 is 7