Greatest Common Factor of 2946 and 2954

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 2946, 2954 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2946 and 2954 is 2.

GCF(2946,2954) = 2

GCF of 2946 and 2954

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

GCF of:
and

Greatest Common Factor of 2946 and 2954

GCF of 2946 and 2954 is 2

Prime Factorization of 2946


2 2946
3 1473
491 491
1

Prime factors of 2946 are 2,3,491. Prime factorization of 2946 in exponential form is:

2946 = 21×31×4911

Prime Factorization of 2954


2 2954
7 1477
211 211
1

Prime factors of 2954 are 2,7,211. Prime factorization of 2954 in exponential form is:

2954 = 21×71×2111

∴ So by taking common prime factors GCF of 2946 and 2954 is 2

Greatest Common Factor of 2946 and 2954 by matching factors method

Factors of 2946

List of positive integer factors of 2946 that divides 2946 without a remainder.

1,2,3,6,491,982,1473,2946

Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1,2,7,14,211,422,1477,2954

Greatest Common Factor

We found the factors and prime factorization of 2946 and 2954. The biggest common factor number is the GCF number.
So the greatest common factor 2946 and 2954 is 2.

Also check out the Least Common Multiple of 2946 and 2954

Properties of GCF 2946 and 2954

(i) The GCF of 2946 and 2954 is associative

GCF of 2946 and 2954 = GCF of 2954 and 2946

Related Greatest Common Factor of 2946

Related Greatest Common Factor of 2954

Frequently Asked Questions on GCF of 2946 and 2954

1. What is the GCF of 2946 and 2954?

Answer: GCF of 2946 and 2954 is 2.

2. What are the Factors of 2946?

Answer: Factors of 2946 are 1, 2, 3, 6, 491, 982, 1473, 2946. There are 8 integers that are factors of 2946. The greatest factor of 2946 is 2946.

3. What are the Factors of 2954?

Answer: Factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954. There are 8 integers that are factors of 2954. The greatest factor of 2954 is 2954.

4. How to Find the GCF of 2946 and 2954?

Answer:

Greatest Common Factor of 2946 and 2954 = 2

Step 1: Find the prime factorization of 2946

2946 = 2 x 3 x 491

Step 2: Find the prime factorization of 2954

2954 = 2 x 7 x 211

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 2946 and 2954 is 2