Greatest Common Factor of 30000 and 30002

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 30000, 30002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30000 and 30002 is 2.

GCF(30000,30002) = 2

GCF of 30000 and 30002

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

GCF of:
and

Greatest Common Factor of 30000 and 30002

GCF of 30000 and 30002 is 2

Prime Factorization of 30000


2 30000
2 15000
2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 30000 are 2,3,5. Prime factorization of 30000 in exponential form is:

30000 = 24×31×54

Prime Factorization of 30002


2 30002
7 15001
2143 2143
1

Prime factors of 30002 are 2,7,2143. Prime factorization of 30002 in exponential form is:

30002 = 21×71×21431

∴ So by taking common prime factors GCF of 30000 and 30002 is 2

Greatest Common Factor of 30000 and 30002 by matching factors method

Factors of 30000

List of positive integer factors of 30000 that divides 30000 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,625,750,1000,1200,1250,1500,1875,2000,2500,3000,3750,5000,6000,7500,10000,15000,30000

Factors of 30002

List of positive integer factors of 30002 that divides 30002 without a remainder.

1,2,7,14,2143,4286,15001,30002

Greatest Common Factor

We found the factors and prime factorization of 30000 and 30002. The biggest common factor number is the GCF number.
So the greatest common factor 30000 and 30002 is 2.

Also check out the Least Common Multiple of 30000 and 30002

Properties of GCF 30000 and 30002

(i) The GCF of 30000 and 30002 is associative

GCF of 30000 and 30002 = GCF of 30002 and 30000

Related Greatest Common Factor of 30000

Related Greatest Common Factor of 30002

Frequently Asked Questions on GCF of 30000 and 30002

1. What is the GCF of 30000 and 30002?

Answer: GCF of 30000 and 30002 is 2.

2. What are the Factors of 30000?

Answer: Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. There are 50 integers that are factors of 30000. The greatest factor of 30000 is 30000.

3. What are the Factors of 30002?

Answer: Factors of 30002 are 1, 2, 7, 14, 2143, 4286, 15001, 30002. There are 8 integers that are factors of 30002. The greatest factor of 30002 is 30002.

4. How to Find the GCF of 30000 and 30002?

Answer:

Greatest Common Factor of 30000 and 30002 = 2

Step 1: Find the prime factorization of 30000

30000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 30002

30002 = 2 x 7 x 2143

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 30000 and 30002 is 2