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 36001, 36002 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36001 and 36002 is 1.
GCF(36001,36002) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36001
7 | 36001 |
37 | 5143 |
139 | 139 |
1 |
Prime factors of 36001 are 7,37,139. Prime factorization of 36001 in exponential form is:
36001 = 71×371×1391
Prime Factorization of 36002
2 | 36002 |
47 | 18001 |
383 | 383 |
1 |
Prime factors of 36002 are 2,47,383. Prime factorization of 36002 in exponential form is:
36002 = 21×471×3831
∴ So by taking common prime factors GCF of 36001 and 36002 is 1
Factors of 36001
List of positive integer factors of 36001 that divides 36001 without a remainder.
1,7,37,139,259,973,5143,36001
Factors of 36002
List of positive integer factors of 36002 that divides 36002 without a remainder.
1,2,47,94,383,766,18001,36002
Greatest Common Factor
We found the factors and prime factorization of 36001 and 36002. The biggest common factor number is the GCF number.
So the greatest common factor 36001 and 36002 is 1.
Also check out the Least Common Multiple of 36001 and 36002
(i) The GCF of 36001 and 36002 is associative
GCF of 36001 and 36002 = GCF of 36002 and 36001
1. What is the GCF of 36001 and 36002?
Answer: GCF of 36001 and 36002 is 1.
2. What are the Factors of 36001?
Answer: Factors of 36001 are 1, 7, 37, 139, 259, 973, 5143, 36001. There are 8 integers that are factors of 36001. The greatest factor of 36001 is 36001.
3. What are the Factors of 36002?
Answer: Factors of 36002 are 1, 2, 47, 94, 383, 766, 18001, 36002. There are 8 integers that are factors of 36002. The greatest factor of 36002 is 36002.
4. How to Find the GCF of 36001 and 36002?
Answer:
Greatest Common Factor of 36001 and 36002 = 1
Step 1: Find the prime factorization of 36001
36001 = 7 x 37 x 139
Step 2: Find the prime factorization of 36002
36002 = 2 x 47 x 383
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 36001 and 36002 is 1