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 36023, 36030 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36023 and 36030 is 1.
GCF(36023,36030) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36023
13 | 36023 |
17 | 2771 |
163 | 163 |
1 |
Prime factors of 36023 are 13,17,163. Prime factorization of 36023 in exponential form is:
36023 = 131×171×1631
Prime Factorization of 36030
2 | 36030 |
3 | 18015 |
5 | 6005 |
1201 | 1201 |
1 |
Prime factors of 36030 are 2,3,5,1201. Prime factorization of 36030 in exponential form is:
36030 = 21×31×51×12011
∴ So by taking common prime factors GCF of 36023 and 36030 is 1
Factors of 36023
List of positive integer factors of 36023 that divides 36023 without a remainder.
1,13,17,163,221,2119,2771,36023
Factors of 36030
List of positive integer factors of 36030 that divides 36030 without a remainder.
1,2,3,5,6,10,15,30,1201,2402,3603,6005,7206,12010,18015,36030
Greatest Common Factor
We found the factors and prime factorization of 36023 and 36030. The biggest common factor number is the GCF number.
So the greatest common factor 36023 and 36030 is 1.
Also check out the Least Common Multiple of 36023 and 36030
(i) The GCF of 36023 and 36030 is associative
GCF of 36023 and 36030 = GCF of 36030 and 36023
1. What is the GCF of 36023 and 36030?
Answer: GCF of 36023 and 36030 is 1.
2. What are the Factors of 36023?
Answer: Factors of 36023 are 1, 13, 17, 163, 221, 2119, 2771, 36023. There are 8 integers that are factors of 36023. The greatest factor of 36023 is 36023.
3. What are the Factors of 36030?
Answer: Factors of 36030 are 1, 2, 3, 5, 6, 10, 15, 30, 1201, 2402, 3603, 6005, 7206, 12010, 18015, 36030. There are 16 integers that are factors of 36030. The greatest factor of 36030 is 36030.
4. How to Find the GCF of 36023 and 36030?
Answer:
Greatest Common Factor of 36023 and 36030 = 1
Step 1: Find the prime factorization of 36023
36023 = 13 x 17 x 163
Step 2: Find the prime factorization of 36030
36030 = 2 x 3 x 5 x 1201
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 36023 and 36030 is 1