Greatest Common Factor of 7014 and 7020

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, 7020 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7014 and 7020 is 6.

GCF(7014,7020) = 6

GCF of 7014 and 7020

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

GCF of:
and

Greatest Common Factor of 7014 and 7020

GCF of 7014 and 7020 is 6

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 7020


2 7020
2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 7020 are 2,3,5,13. Prime factorization of 7020 in exponential form is:

7020 = 22×33×51×131

∴ So by taking common prime factors GCF of 7014 and 7020 is 6

Greatest Common Factor of 7014 and 7020 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 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Greatest Common Factor

We found the factors and prime factorization of 7014 and 7020. The biggest common factor number is the GCF number.
So the greatest common factor 7014 and 7020 is 6.

Also check out the Least Common Multiple of 7014 and 7020

Properties of GCF 7014 and 7020

(i) The GCF of 7014 and 7020 is associative

GCF of 7014 and 7020 = GCF of 7020 and 7014

Related Greatest Common Factor of 7014

Related Greatest Common Factor of 7020

Frequently Asked Questions on GCF of 7014 and 7020

1. What is the GCF of 7014 and 7020?

Answer: GCF of 7014 and 7020 is 6.

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 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

4. How to Find the GCF of 7014 and 7020?

Answer:

Greatest Common Factor of 7014 and 7020 = 6

Step 1: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

Step 2: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7014 and 7020 is 6