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 36021, 36022 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36021 and 36022 is 1.
GCF(36021,36022) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36021
3 | 36021 |
12007 | 12007 |
1 |
Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:
36021 = 31×120071
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
∴ So by taking common prime factors GCF of 36021 and 36022 is 1
Factors of 36021
List of positive integer factors of 36021 that divides 36021 without a remainder.
1,3,12007,36021
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
Greatest Common Factor
We found the factors and prime factorization of 36021 and 36022. The biggest common factor number is the GCF number.
So the greatest common factor 36021 and 36022 is 1.
Also check out the Least Common Multiple of 36021 and 36022
(i) The GCF of 36021 and 36022 is associative
GCF of 36021 and 36022 = GCF of 36022 and 36021
1. What is the GCF of 36021 and 36022?
Answer: GCF of 36021 and 36022 is 1.
2. What are the Factors of 36021?
Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.
3. 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.
4. How to Find the GCF of 36021 and 36022?
Answer:
Greatest Common Factor of 36021 and 36022 = 1
Step 1: Find the prime factorization of 36021
36021 = 3 x 12007
Step 2: Find the prime factorization of 36022
36022 = 2 x 7 x 31 x 83
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 36021 and 36022 is 1