Greatest Common Factor of 7018 and 7026

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 7018, 7026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7018 and 7026 is 2.

GCF(7018,7026) = 2

GCF of 7018 and 7026

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

GCF of:
and

Greatest Common Factor of 7018 and 7026

GCF of 7018 and 7026 is 2

Prime Factorization of 7018


2 7018
11 3509
11 319
29 29
1

Prime factors of 7018 are 2,11,29. Prime factorization of 7018 in exponential form is:

7018 = 21×112×291

Prime Factorization of 7026


2 7026
3 3513
1171 1171
1

Prime factors of 7026 are 2,3,1171. Prime factorization of 7026 in exponential form is:

7026 = 21×31×11711

∴ So by taking common prime factors GCF of 7018 and 7026 is 2

Greatest Common Factor of 7018 and 7026 by matching factors method

Factors of 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1,2,11,22,29,58,121,242,319,638,3509,7018

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Greatest Common Factor

We found the factors and prime factorization of 7018 and 7026. The biggest common factor number is the GCF number.
So the greatest common factor 7018 and 7026 is 2.

Also check out the Least Common Multiple of 7018 and 7026

Properties of GCF 7018 and 7026

(i) The GCF of 7018 and 7026 is associative

GCF of 7018 and 7026 = GCF of 7026 and 7018

Related Greatest Common Factor of 7018

Related Greatest Common Factor of 7026

Frequently Asked Questions on GCF of 7018 and 7026

1. What is the GCF of 7018 and 7026?

Answer: GCF of 7018 and 7026 is 2.

2. What are the Factors of 7018?

Answer: Factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018. There are 12 integers that are factors of 7018. The greatest factor of 7018 is 7018.

3. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

4. How to Find the GCF of 7018 and 7026?

Answer:

Greatest Common Factor of 7018 and 7026 = 2

Step 1: Find the prime factorization of 7018

7018 = 2 x 11 x 11 x 29

Step 2: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

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 7018 and 7026 is 2