Greatest Common Factor of 5998 and 6006

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 5998, 6006 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5998 and 6006 is 2.

GCF(5998,6006) = 2

GCF of 5998 and 6006

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

GCF of:
and

Greatest Common Factor of 5998 and 6006

GCF of 5998 and 6006 is 2

Prime Factorization of 5998


2 5998
2999 2999
1

Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:

5998 = 21×29991

Prime Factorization of 6006


2 6006
3 3003
7 1001
11 143
13 13
1

Prime factors of 6006 are 2,3,7,11,13. Prime factorization of 6006 in exponential form is:

6006 = 21×31×71×111×131

∴ So by taking common prime factors GCF of 5998 and 6006 is 2

Greatest Common Factor of 5998 and 6006 by matching factors method

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1,2,2999,5998

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors and prime factorization of 5998 and 6006. The biggest common factor number is the GCF number.
So the greatest common factor 5998 and 6006 is 2.

Also check out the Least Common Multiple of 5998 and 6006

Properties of GCF 5998 and 6006

(i) The GCF of 5998 and 6006 is associative

GCF of 5998 and 6006 = GCF of 6006 and 5998

Related Greatest Common Factor of 5998

Related Greatest Common Factor of 6006

Frequently Asked Questions on GCF of 5998 and 6006

1. What is the GCF of 5998 and 6006?

Answer: GCF of 5998 and 6006 is 2.

2. What are the Factors of 5998?

Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.

3. What are the Factors of 6006?

Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.

4. How to Find the GCF of 5998 and 6006?

Answer:

Greatest Common Factor of 5998 and 6006 = 2

Step 1: Find the prime factorization of 5998

5998 = 2 x 2999

Step 2: Find the prime factorization of 6006

6006 = 2 x 3 x 7 x 11 x 13

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 5998 and 6006 is 2