Greatest Common Factor of 39000 and 39004

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 39000, 39004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39000 and 39004 is 4.

GCF(39000,39004) = 4

GCF of 39000 and 39004

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

GCF of:
and

Greatest Common Factor of 39000 and 39004

GCF of 39000 and 39004 is 4

Prime Factorization of 39000


2 39000
2 19500
2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 39000 are 2,3,5,13. Prime factorization of 39000 in exponential form is:

39000 = 23×31×53×131

Prime Factorization of 39004


2 39004
2 19502
7 9751
7 1393
199 199
1

Prime factors of 39004 are 2,7,199. Prime factorization of 39004 in exponential form is:

39004 = 22×72×1991

∴ So by taking common prime factors GCF of 39000 and 39004 is 4

Greatest Common Factor of 39000 and 39004 by matching factors method

Factors of 39000

List of positive integer factors of 39000 that divides 39000 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,125,130,150,156,195,200,250,260,300,312,325,375,390,500,520,600,650,750,780,975,1000,1300,1500,1560,1625,1950,2600,3000,3250,3900,4875,6500,7800,9750,13000,19500,39000

Factors of 39004

List of positive integer factors of 39004 that divides 39004 without a remainder.

1,2,4,7,14,28,49,98,196,199,398,796,1393,2786,5572,9751,19502,39004

Greatest Common Factor

We found the factors and prime factorization of 39000 and 39004. The biggest common factor number is the GCF number.
So the greatest common factor 39000 and 39004 is 4.

Also check out the Least Common Multiple of 39000 and 39004

Properties of GCF 39000 and 39004

(i) The GCF of 39000 and 39004 is associative

GCF of 39000 and 39004 = GCF of 39004 and 39000

Related Greatest Common Factor of 39000

Related Greatest Common Factor of 39004

Frequently Asked Questions on GCF of 39000 and 39004

1. What is the GCF of 39000 and 39004?

Answer: GCF of 39000 and 39004 is 4.

2. What are the Factors of 39000?

Answer: Factors of 39000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 125, 130, 150, 156, 195, 200, 250, 260, 300, 312, 325, 375, 390, 500, 520, 600, 650, 750, 780, 975, 1000, 1300, 1500, 1560, 1625, 1950, 2600, 3000, 3250, 3900, 4875, 6500, 7800, 9750, 13000, 19500, 39000. There are 64 integers that are factors of 39000. The greatest factor of 39000 is 39000.

3. What are the Factors of 39004?

Answer: Factors of 39004 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502, 39004. There are 18 integers that are factors of 39004. The greatest factor of 39004 is 39004.

4. How to Find the GCF of 39000 and 39004?

Answer:

Greatest Common Factor of 39000 and 39004 = 4

Step 1: Find the prime factorization of 39000

39000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13

Step 2: Find the prime factorization of 39004

39004 = 2 x 2 x 7 x 7 x 199

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 39000 and 39004 is 4