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, 36028 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36022 and 36028 is 2.
GCF(36022,36028) = 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 36028
2 | 36028 |
2 | 18014 |
9007 | 9007 |
1 |
Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:
36028 = 22×90071
∴ So by taking common prime factors GCF of 36022 and 36028 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 36028
List of positive integer factors of 36028 that divides 36028 without a remainder.
1,2,4,9007,18014,36028
Greatest Common Factor
We found the factors and prime factorization of 36022 and 36028. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36028 is 2.
Also check out the Least Common Multiple of 36022 and 36028
(i) The GCF of 36022 and 36028 is associative
GCF of 36022 and 36028 = GCF of 36028 and 36022
1. What is the GCF of 36022 and 36028?
Answer: GCF of 36022 and 36028 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 36028?
Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.
4. How to Find the GCF of 36022 and 36028?
Answer:
Greatest Common Factor of 36022 and 36028 = 2
Step 1: Find the prime factorization of 36022
36022 = 2 x 7 x 31 x 83
Step 2: Find the prime factorization of 36028
36028 = 2 x 2 x 9007
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 36028 is 2