Greatest Common Factor of 5996 and 6004

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 5996, 6004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5996 and 6004 is 4.

GCF(5996,6004) = 4

GCF of 5996 and 6004

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

GCF of:
and

Greatest Common Factor of 5996 and 6004

GCF of 5996 and 6004 is 4

Prime Factorization of 5996


2 5996
2 2998
1499 1499
1

Prime factors of 5996 are 2,1499. Prime factorization of 5996 in exponential form is:

5996 = 22×14991

Prime Factorization of 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2,19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

∴ So by taking common prime factors GCF of 5996 and 6004 is 4

Greatest Common Factor of 5996 and 6004 by matching factors method

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1,2,4,19,38,76,79,158,316,1501,3002,6004

Greatest Common Factor

We found the factors and prime factorization of 5996 and 6004. The biggest common factor number is the GCF number.
So the greatest common factor 5996 and 6004 is 4.

Also check out the Least Common Multiple of 5996 and 6004

Properties of GCF 5996 and 6004

(i) The GCF of 5996 and 6004 is associative

GCF of 5996 and 6004 = GCF of 6004 and 5996

Related Greatest Common Factor of 5996

Related Greatest Common Factor of 6004

Frequently Asked Questions on GCF of 5996 and 6004

1. What is the GCF of 5996 and 6004?

Answer: GCF of 5996 and 6004 is 4.

2. What are the Factors of 5996?

Answer: Factors of 5996 are 1, 2, 4, 1499, 2998, 5996. There are 6 integers that are factors of 5996. The greatest factor of 5996 is 5996.

3. What are the Factors of 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

4. How to Find the GCF of 5996 and 6004?

Answer:

Greatest Common Factor of 5996 and 6004 = 4

Step 1: Find the prime factorization of 5996

5996 = 2 x 2 x 1499

Step 2: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

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 5996 and 6004 is 4