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, 36008 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36000 and 36008 is 8.
GCF(36000,36008) = 8
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 36008
2 | 36008 |
2 | 18004 |
2 | 9002 |
7 | 4501 |
643 | 643 |
1 |
Prime factors of 36008 are 2,7,643. Prime factorization of 36008 in exponential form is:
36008 = 23×71×6431
∴ So by taking common prime factors GCF of 36000 and 36008 is 8
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 36008
List of positive integer factors of 36008 that divides 36008 without a remainder.
1,2,4,7,8,14,28,56,643,1286,2572,4501,5144,9002,18004,36008
Greatest Common Factor
We found the factors and prime factorization of 36000 and 36008. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36008 is 8.
Also check out the Least Common Multiple of 36000 and 36008
(i) The GCF of 36000 and 36008 is associative
GCF of 36000 and 36008 = GCF of 36008 and 36000
1. What is the GCF of 36000 and 36008?
Answer: GCF of 36000 and 36008 is 8.
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 36008?
Answer: Factors of 36008 are 1, 2, 4, 7, 8, 14, 28, 56, 643, 1286, 2572, 4501, 5144, 9002, 18004, 36008. There are 16 integers that are factors of 36008. The greatest factor of 36008 is 36008.
4. How to Find the GCF of 36000 and 36008?
Answer:
Greatest Common Factor of 36000 and 36008 = 8
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 36008
36008 = 2 x 2 x 2 x 7 x 643
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 36000 and 36008 is 8