Greatest Common Factor of 36000 and 36007

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, 36007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36000 and 36007 is 1.

GCF(36000,36007) = 1

GCF of 36000 and 36007

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 36000 and 36007

GCF of 36000 and 36007 is 1

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 36007


36007 36007
1

Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:

36007 = 360071

∴ So by taking common prime factors GCF of 36000 and 36007 is 1

Greatest Common Factor of 36000 and 36007 by matching factors method

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 36007

List of positive integer factors of 36007 that divides 36007 without a remainder.

1,36007

Greatest Common Factor

We found the factors and prime factorization of 36000 and 36007. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36007 is 1.

Also check out the Least Common Multiple of 36000 and 36007

Properties of GCF 36000 and 36007

(i) The GCF of 36000 and 36007 is associative

GCF of 36000 and 36007 = GCF of 36007 and 36000

Related Greatest Common Factor of 36000

Related Greatest Common Factor of 36007

Frequently Asked Questions on GCF of 36000 and 36007

1. What is the GCF of 36000 and 36007?

Answer: GCF of 36000 and 36007 is 1.

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 36007?

Answer: Factors of 36007 are 1, 36007. There are 2 integers that are factors of 36007. The greatest factor of 36007 is 36007.

4. How to Find the GCF of 36000 and 36007?

Answer:

Greatest Common Factor of 36000 and 36007 = 1

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 36007

36007 = 36007

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 36000 and 36007 is 1