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, 36023 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36022 and 36023 is 1.
GCF(36022,36023) = 1
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 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
∴ So by taking common prime factors GCF of 36022 and 36023 is 1
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 36023
List of positive integer factors of 36023 that divides 36023 without a remainder.
1,13,17,163,221,2119,2771,36023
Greatest Common Factor
We found the factors and prime factorization of 36022 and 36023. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36023 is 1.
Also check out the Least Common Multiple of 36022 and 36023
(i) The GCF of 36022 and 36023 is associative
GCF of 36022 and 36023 = GCF of 36023 and 36022
1. What is the GCF of 36022 and 36023?
Answer: GCF of 36022 and 36023 is 1.
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 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.
4. How to Find the GCF of 36022 and 36023?
Answer:
Greatest Common Factor of 36022 and 36023 = 1
Step 1: Find the prime factorization of 36022
36022 = 2 x 7 x 31 x 83
Step 2: Find the prime factorization of 36023
36023 = 13 x 17 x 163
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 36022 and 36023 is 1