Greatest Common Factor of 2994 and 3001

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 2994, 3001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2994 and 3001 is 1.

GCF(2994,3001) = 1

GCF of 2994 and 3001

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

GCF of:
and

Greatest Common Factor of 2994 and 3001

GCF of 2994 and 3001 is 1

Prime Factorization of 2994


2 2994
3 1497
499 499
1

Prime factors of 2994 are 2,3,499. Prime factorization of 2994 in exponential form is:

2994 = 21×31×4991

Prime Factorization of 3001


3001 3001
1

Prime factors of 3001 are 3001. Prime factorization of 3001 in exponential form is:

3001 = 30011

∴ So by taking common prime factors GCF of 2994 and 3001 is 1

Greatest Common Factor of 2994 and 3001 by matching factors method

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

Factors of 3001

List of positive integer factors of 3001 that divides 3001 without a remainder.

1,3001

Greatest Common Factor

We found the factors and prime factorization of 2994 and 3001. The biggest common factor number is the GCF number.
So the greatest common factor 2994 and 3001 is 1.

Also check out the Least Common Multiple of 2994 and 3001

Properties of GCF 2994 and 3001

(i) The GCF of 2994 and 3001 is associative

GCF of 2994 and 3001 = GCF of 3001 and 2994

Related Greatest Common Factor of 2994

Related Greatest Common Factor of 3001

Frequently Asked Questions on GCF of 2994 and 3001

1. What is the GCF of 2994 and 3001?

Answer: GCF of 2994 and 3001 is 1.

2. What are the Factors of 2994?

Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.

3. What are the Factors of 3001?

Answer: Factors of 3001 are 1, 3001. There are 2 integers that are factors of 3001. The greatest factor of 3001 is 3001.

4. How to Find the GCF of 2994 and 3001?

Answer:

Greatest Common Factor of 2994 and 3001 = 1

Step 1: Find the prime factorization of 2994

2994 = 2 x 3 x 499

Step 2: Find the prime factorization of 3001

3001 = 3001

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 2994 and 3001 is 1