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 9018, 9020 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9018 and 9020 is 2.
GCF(9018,9020) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9018
2 | 9018 |
3 | 4509 |
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 9018 are 2,3,167. Prime factorization of 9018 in exponential form is:
9018 = 21×33×1671
Prime Factorization of 9020
2 | 9020 |
2 | 4510 |
5 | 2255 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 9020 are 2,5,11,41. Prime factorization of 9020 in exponential form is:
9020 = 22×51×111×411
∴ So by taking common prime factors GCF of 9018 and 9020 is 2
Factors of 9018
List of positive integer factors of 9018 that divides 9018 without a remainder.
1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Factors of 9020
List of positive integer factors of 9020 that divides 9020 without a remainder.
1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020
Greatest Common Factor
We found the factors and prime factorization of 9018 and 9020. The biggest common factor number is the GCF number.
So the greatest common factor 9018 and 9020 is 2.
Also check out the Least Common Multiple of 9018 and 9020
(i) The GCF of 9018 and 9020 is associative
GCF of 9018 and 9020 = GCF of 9020 and 9018
1. What is the GCF of 9018 and 9020?
Answer: GCF of 9018 and 9020 is 2.
2. What are the Factors of 9018?
Answer: Factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018. There are 16 integers that are factors of 9018. The greatest factor of 9018 is 9018.
3. What are the Factors of 9020?
Answer: Factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020. There are 24 integers that are factors of 9020. The greatest factor of 9020 is 9020.
4. How to Find the GCF of 9018 and 9020?
Answer:
Greatest Common Factor of 9018 and 9020 = 2
Step 1: Find the prime factorization of 9018
9018 = 2 x 3 x 3 x 3 x 167
Step 2: Find the prime factorization of 9020
9020 = 2 x 2 x 5 x 11 x 41
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 9018 and 9020 is 2