Greatest Common Factor of 39001 and 39006

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 39001, 39006 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39001 and 39006 is 1.

GCF(39001,39006) = 1

GCF of 39001 and 39006

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

GCF of:
and

Greatest Common Factor of 39001 and 39006

GCF of 39001 and 39006 is 1

Prime Factorization of 39001


43 39001
907 907
1

Prime factors of 39001 are 43,907. Prime factorization of 39001 in exponential form is:

39001 = 431×9071

Prime Factorization of 39006


2 39006
3 19503
3 6501
11 2167
197 197
1

Prime factors of 39006 are 2,3,11,197. Prime factorization of 39006 in exponential form is:

39006 = 21×32×111×1971

∴ So by taking common prime factors GCF of 39001 and 39006 is 1

Greatest Common Factor of 39001 and 39006 by matching factors method

Factors of 39001

List of positive integer factors of 39001 that divides 39001 without a remainder.

1,43,907,39001

Factors of 39006

List of positive integer factors of 39006 that divides 39006 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,197,198,394,591,1182,1773,2167,3546,4334,6501,13002,19503,39006

Greatest Common Factor

We found the factors and prime factorization of 39001 and 39006. The biggest common factor number is the GCF number.
So the greatest common factor 39001 and 39006 is 1.

Also check out the Least Common Multiple of 39001 and 39006

Properties of GCF 39001 and 39006

(i) The GCF of 39001 and 39006 is associative

GCF of 39001 and 39006 = GCF of 39006 and 39001

Related Greatest Common Factor of 39001

Related Greatest Common Factor of 39006

Frequently Asked Questions on GCF of 39001 and 39006

1. What is the GCF of 39001 and 39006?

Answer: GCF of 39001 and 39006 is 1.

2. What are the Factors of 39001?

Answer: Factors of 39001 are 1, 43, 907, 39001. There are 4 integers that are factors of 39001. The greatest factor of 39001 is 39001.

3. What are the Factors of 39006?

Answer: Factors of 39006 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 197, 198, 394, 591, 1182, 1773, 2167, 3546, 4334, 6501, 13002, 19503, 39006. There are 24 integers that are factors of 39006. The greatest factor of 39006 is 39006.

4. How to Find the GCF of 39001 and 39006?

Answer:

Greatest Common Factor of 39001 and 39006 = 1

Step 1: Find the prime factorization of 39001

39001 = 43 x 907

Step 2: Find the prime factorization of 39006

39006 = 2 x 3 x 3 x 11 x 197

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 39001 and 39006 is 1