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, 36024 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36022 and 36024 is 2.
GCF(36022,36024) = 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 36024
2 | 36024 |
2 | 18012 |
2 | 9006 |
3 | 4503 |
19 | 1501 |
79 | 79 |
1 |
Prime factors of 36024 are 2,3,19,79. Prime factorization of 36024 in exponential form is:
36024 = 23×31×191×791
∴ So by taking common prime factors GCF of 36022 and 36024 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 36024
List of positive integer factors of 36024 that divides 36024 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,79,114,152,158,228,237,316,456,474,632,948,1501,1896,3002,4503,6004,9006,12008,18012,36024
Greatest Common Factor
We found the factors and prime factorization of 36022 and 36024. The biggest common factor number is the GCF number.
So the greatest common factor 36022 and 36024 is 2.
Also check out the Least Common Multiple of 36022 and 36024
(i) The GCF of 36022 and 36024 is associative
GCF of 36022 and 36024 = GCF of 36024 and 36022
1. What is the GCF of 36022 and 36024?
Answer: GCF of 36022 and 36024 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 36024?
Answer: Factors of 36024 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012, 36024. There are 32 integers that are factors of 36024. The greatest factor of 36024 is 36024.
4. How to Find the GCF of 36022 and 36024?
Answer:
Greatest Common Factor of 36022 and 36024 = 2
Step 1: Find the prime factorization of 36022
36022 = 2 x 7 x 31 x 83
Step 2: Find the prime factorization of 36024
36024 = 2 x 2 x 2 x 3 x 19 x 79
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 36024 is 2