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 36022, 36030 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36022 and 36030 is 2.
GCF(36022,36030) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36022
2 | 36022 |
7 | 18011 |
31 | 2573 |
83 | 83 |
1 |
Prime factors of 36022 are 2,7,31,83. Prime factorization of 36022 in exponential form is:
36022 = 21×71×311×831
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 36022 and 36030 is 2
Factors of 36022
List of positive integer factors of 36022 that divides 36022 without a remainder.
1,2,7,14,31,62,83,166,217,434,581,1162,2573,5146,18011,36022
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 36022 and 36030. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36030 is 2.
Also check out the Least Common Multiple of 36022 and 36030
(i) The GCF of 36022 and 36030 is associative
GCF of 36022 and 36030 = GCF of 36030 and 36022
1. What is the GCF of 36022 and 36030?
Answer: GCF of 36022 and 36030 is 2.
2. What are the Factors of 36022?
Answer: Factors of 36022 are 1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022. There are 16 integers that are factors of 36022. The greatest factor of 36022 is 36022.
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 36022 and 36030?
Answer:
Greatest Common Factor of 36022 and 36030 = 2
Step 1: Find the prime factorization of 36022
36022 = 2 x 7 x 31 x 83
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 = 2
Step 4: Therefore, the greatest common factor of 36022 and 36030 is 2