Greatest Common Factor of 27018 and 27026

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 27018, 27026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27018 and 27026 is 2.

GCF(27018,27026) = 2

GCF of 27018 and 27026

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

GCF of:
and

Greatest Common Factor of 27018 and 27026

GCF of 27018 and 27026 is 2

Prime Factorization of 27018


2 27018
3 13509
3 4503
19 1501
79 79
1

Prime factors of 27018 are 2,3,19,79. Prime factorization of 27018 in exponential form is:

27018 = 21×32×191×791

Prime Factorization of 27026


2 27026
13513 13513
1

Prime factors of 27026 are 2,13513. Prime factorization of 27026 in exponential form is:

27026 = 21×135131

∴ So by taking common prime factors GCF of 27018 and 27026 is 2

Greatest Common Factor of 27018 and 27026 by matching factors method

Factors of 27018

List of positive integer factors of 27018 that divides 27018 without a remainder.

1,2,3,6,9,18,19,38,57,79,114,158,171,237,342,474,711,1422,1501,3002,4503,9006,13509,27018

Factors of 27026

List of positive integer factors of 27026 that divides 27026 without a remainder.

1,2,13513,27026

Greatest Common Factor

We found the factors and prime factorization of 27018 and 27026. The biggest common factor number is the GCF number.
So the greatest common factor 27018 and 27026 is 2.

Also check out the Least Common Multiple of 27018 and 27026

Properties of GCF 27018 and 27026

(i) The GCF of 27018 and 27026 is associative

GCF of 27018 and 27026 = GCF of 27026 and 27018

Frequently Asked Questions on GCF of 27018 and 27026

1. What is the GCF of 27018 and 27026?

Answer: GCF of 27018 and 27026 is 2.

2. What are the Factors of 27018?

Answer: Factors of 27018 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509, 27018. There are 24 integers that are factors of 27018. The greatest factor of 27018 is 27018.

3. What are the Factors of 27026?

Answer: Factors of 27026 are 1, 2, 13513, 27026. There are 4 integers that are factors of 27026. The greatest factor of 27026 is 27026.

4. How to Find the GCF of 27018 and 27026?

Answer:

Greatest Common Factor of 27018 and 27026 = 2

Step 1: Find the prime factorization of 27018

27018 = 2 x 3 x 3 x 19 x 79

Step 2: Find the prime factorization of 27026

27026 = 2 x 13513

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 27018 and 27026 is 2