Greatest Common Factor of 2946 and 2949

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, 2949 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2946 and 2949 is 3.

GCF(2946,2949) = 3

GCF of 2946 and 2949

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

GCF of:
and

Greatest Common Factor of 2946 and 2949

GCF of 2946 and 2949 is 3

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 2949


3 2949
983 983
1

Prime factors of 2949 are 3,983. Prime factorization of 2949 in exponential form is:

2949 = 31×9831

∴ So by taking common prime factors GCF of 2946 and 2949 is 3

Greatest Common Factor of 2946 and 2949 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 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1,3,983,2949

Greatest Common Factor

We found the factors and prime factorization of 2946 and 2949. The biggest common factor number is the GCF number.
So the greatest common factor 2946 and 2949 is 3.

Also check out the Least Common Multiple of 2946 and 2949

Properties of GCF 2946 and 2949

(i) The GCF of 2946 and 2949 is associative

GCF of 2946 and 2949 = GCF of 2949 and 2946

Related Greatest Common Factor of 2946

Related Greatest Common Factor of 2949

Frequently Asked Questions on GCF of 2946 and 2949

1. What is the GCF of 2946 and 2949?

Answer: GCF of 2946 and 2949 is 3.

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 2949?

Answer: Factors of 2949 are 1, 3, 983, 2949. There are 4 integers that are factors of 2949. The greatest factor of 2949 is 2949.

4. How to Find the GCF of 2946 and 2949?

Answer:

Greatest Common Factor of 2946 and 2949 = 3

Step 1: Find the prime factorization of 2946

2946 = 2 x 3 x 491

Step 2: Find the prime factorization of 2949

2949 = 3 x 983

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2946 and 2949 is 3