Greatest Common Factor of 39008 and 39014

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, 39014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39008 and 39014 is 2.

GCF(39008,39014) = 2

GCF of 39008 and 39014

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

GCF of:
and

Greatest Common Factor of 39008 and 39014

GCF of 39008 and 39014 is 2

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 39014


2 39014
19507 19507
1

Prime factors of 39014 are 2,19507. Prime factorization of 39014 in exponential form is:

39014 = 21×195071

∴ So by taking common prime factors GCF of 39008 and 39014 is 2

Greatest Common Factor of 39008 and 39014 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 39014

List of positive integer factors of 39014 that divides 39014 without a remainder.

1,2,19507,39014

Greatest Common Factor

We found the factors and prime factorization of 39008 and 39014. The biggest common factor number is the GCF number.
So the greatest common factor 39008 and 39014 is 2.

Also check out the Least Common Multiple of 39008 and 39014

Properties of GCF 39008 and 39014

(i) The GCF of 39008 and 39014 is associative

GCF of 39008 and 39014 = GCF of 39014 and 39008

Related Greatest Common Factor of 39008

Related Greatest Common Factor of 39014

Frequently Asked Questions on GCF of 39008 and 39014

1. What is the GCF of 39008 and 39014?

Answer: GCF of 39008 and 39014 is 2.

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 39014?

Answer: Factors of 39014 are 1, 2, 19507, 39014. There are 4 integers that are factors of 39014. The greatest factor of 39014 is 39014.

4. How to Find the GCF of 39008 and 39014?

Answer:

Greatest Common Factor of 39008 and 39014 = 2

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 39014

39014 = 2 x 19507

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 39008 and 39014 is 2