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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 27018 and 27026 is associative
GCF of 27018 and 27026 = GCF of 27026 and 27018
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