Greatest Common Factor of 4018 and 4026

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 4018, 4026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4018 and 4026 is 2.

GCF(4018,4026) = 2

GCF of 4018 and 4026

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

GCF of:
and

Greatest Common Factor of 4018 and 4026

GCF of 4018 and 4026 is 2

Prime Factorization of 4018


2 4018
7 2009
7 287
41 41
1

Prime factors of 4018 are 2,7,41. Prime factorization of 4018 in exponential form is:

4018 = 21×72×411

Prime Factorization of 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2,3,11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

∴ So by taking common prime factors GCF of 4018 and 4026 is 2

Greatest Common Factor of 4018 and 4026 by matching factors method

Factors of 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1,2,7,14,41,49,82,98,287,574,2009,4018

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Greatest Common Factor

We found the factors and prime factorization of 4018 and 4026. The biggest common factor number is the GCF number.
So the greatest common factor 4018 and 4026 is 2.

Also check out the Least Common Multiple of 4018 and 4026

Properties of GCF 4018 and 4026

(i) The GCF of 4018 and 4026 is associative

GCF of 4018 and 4026 = GCF of 4026 and 4018

Frequently Asked Questions on GCF of 4018 and 4026

1. What is the GCF of 4018 and 4026?

Answer: GCF of 4018 and 4026 is 2.

2. What are the Factors of 4018?

Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.

3. What are the Factors of 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

4. How to Find the GCF of 4018 and 4026?

Answer:

Greatest Common Factor of 4018 and 4026 = 2

Step 1: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

Step 2: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

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 4018 and 4026 is 2