Greatest Common Factor of 39000 and 39008

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, 39008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39000 and 39008 is 8.

GCF(39000,39008) = 8

GCF of 39000 and 39008

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

GCF of:
and

Greatest Common Factor of 39000 and 39008

GCF of 39000 and 39008 is 8

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 39008


2 39008
2 19504
2 9752
2 4876
2 2438
23 1219
53 53
1

Prime factors of 39008 are 2,23,53. Prime factorization of 39008 in exponential form is:

39008 = 25×231×531

∴ So by taking common prime factors GCF of 39000 and 39008 is 8

Greatest Common Factor of 39000 and 39008 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 39008

List of positive integer factors of 39008 that divides 39008 without a remainder.

1,2,4,8,16,23,32,46,53,92,106,184,212,368,424,736,848,1219,1696,2438,4876,9752,19504,39008

Greatest Common Factor

We found the factors and prime factorization of 39000 and 39008. The biggest common factor number is the GCF number.
So the greatest common factor 39000 and 39008 is 8.

Also check out the Least Common Multiple of 39000 and 39008

Properties of GCF 39000 and 39008

(i) The GCF of 39000 and 39008 is associative

GCF of 39000 and 39008 = GCF of 39008 and 39000

Related Greatest Common Factor of 39000

Related Greatest Common Factor of 39008

Frequently Asked Questions on GCF of 39000 and 39008

1. What is the GCF of 39000 and 39008?

Answer: GCF of 39000 and 39008 is 8.

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 39008?

Answer: Factors of 39008 are 1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504, 39008. There are 24 integers that are factors of 39008. The greatest factor of 39008 is 39008.

4. How to Find the GCF of 39000 and 39008?

Answer:

Greatest Common Factor of 39000 and 39008 = 8

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 39008

39008 = 2 x 2 x 2 x 2 x 2 x 23 x 53

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 39000 and 39008 is 8