Greatest Common Factor of 39008 and 39012

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 39008, 39012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39008 and 39012 is 4.

GCF(39008,39012) = 4

GCF of 39008 and 39012

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

GCF of:
and

Greatest Common Factor of 39008 and 39012

GCF of 39008 and 39012 is 4

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

Prime Factorization of 39012


2 39012
2 19506
3 9753
3251 3251
1

Prime factors of 39012 are 2,3,3251. Prime factorization of 39012 in exponential form is:

39012 = 22×31×32511

∴ So by taking common prime factors GCF of 39008 and 39012 is 4

Greatest Common Factor of 39008 and 39012 by matching factors method

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

Factors of 39012

List of positive integer factors of 39012 that divides 39012 without a remainder.

1,2,3,4,6,12,3251,6502,9753,13004,19506,39012

Greatest Common Factor

We found the factors and prime factorization of 39008 and 39012. The biggest common factor number is the GCF number.
So the greatest common factor 39008 and 39012 is 4.

Also check out the Least Common Multiple of 39008 and 39012

Properties of GCF 39008 and 39012

(i) The GCF of 39008 and 39012 is associative

GCF of 39008 and 39012 = GCF of 39012 and 39008

Related Greatest Common Factor of 39008

Related Greatest Common Factor of 39012

Frequently Asked Questions on GCF of 39008 and 39012

1. What is the GCF of 39008 and 39012?

Answer: GCF of 39008 and 39012 is 4.

2. 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.

3. What are the Factors of 39012?

Answer: Factors of 39012 are 1, 2, 3, 4, 6, 12, 3251, 6502, 9753, 13004, 19506, 39012. There are 12 integers that are factors of 39012. The greatest factor of 39012 is 39012.

4. How to Find the GCF of 39008 and 39012?

Answer:

Greatest Common Factor of 39008 and 39012 = 4

Step 1: Find the prime factorization of 39008

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

Step 2: Find the prime factorization of 39012

39012 = 2 x 2 x 3 x 3251

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 39008 and 39012 is 4