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 36000, 36002 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36000 and 36002 is 2.
GCF(36000,36002) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36000
2 | 36000 |
2 | 18000 |
2 | 9000 |
2 | 4500 |
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 36000 are 2,3,5. Prime factorization of 36000 in exponential form is:
36000 = 25×32×53
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 36000 and 36002 is 2
Factors of 36000
List of positive integer factors of 36000 that divides 36000 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,125,144,150,160,180,200,225,240,250,288,300,360,375,400,450,480,500,600,720,750,800,900,1000,1125,1200,1440,1500,1800,2000,2250,2400,3000,3600,4000,4500,6000,7200,9000,12000,18000,36000
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 36000 and 36002. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36002 is 2.
Also check out the Least Common Multiple of 36000 and 36002
(i) The GCF of 36000 and 36002 is associative
GCF of 36000 and 36002 = GCF of 36002 and 36000
1. What is the GCF of 36000 and 36002?
Answer: GCF of 36000 and 36002 is 2.
2. What are the Factors of 36000?
Answer: Factors of 36000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 125, 144, 150, 160, 180, 200, 225, 240, 250, 288, 300, 360, 375, 400, 450, 480, 500, 600, 720, 750, 800, 900, 1000, 1125, 1200, 1440, 1500, 1800, 2000, 2250, 2400, 3000, 3600, 4000, 4500, 6000, 7200, 9000, 12000, 18000, 36000. There are 72 integers that are factors of 36000. The greatest factor of 36000 is 36000.
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 36000 and 36002?
Answer:
Greatest Common Factor of 36000 and 36002 = 2
Step 1: Find the prime factorization of 36000
36000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5
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 = 2
Step 4: Therefore, the greatest common factor of 36000 and 36002 is 2