Greatest Common Factor of 2940 and 2946

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 2940, 2946 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2940 and 2946 is 6.

GCF(2940,2946) = 6

GCF of 2940 and 2946

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

GCF of:
and

Greatest Common Factor of 2940 and 2946

GCF of 2940 and 2946 is 6

Prime Factorization of 2940


2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 2940 are 2,3,5,7. Prime factorization of 2940 in exponential form is:

2940 = 22×31×51×72

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

∴ So by taking common prime factors GCF of 2940 and 2946 is 6

Greatest Common Factor of 2940 and 2946 by matching factors method

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Factors of 2946

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

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

Greatest Common Factor

We found the factors and prime factorization of 2940 and 2946. The biggest common factor number is the GCF number.
So the greatest common factor 2940 and 2946 is 6.

Also check out the Least Common Multiple of 2940 and 2946

Properties of GCF 2940 and 2946

(i) The GCF of 2940 and 2946 is associative

GCF of 2940 and 2946 = GCF of 2946 and 2940

Related Greatest Common Factor of 2940

Related Greatest Common Factor of 2946

Frequently Asked Questions on GCF of 2940 and 2946

1. What is the GCF of 2940 and 2946?

Answer: GCF of 2940 and 2946 is 6.

2. What are the Factors of 2940?

Answer: Factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940. There are 36 integers that are factors of 2940. The greatest factor of 2940 is 2940.

3. 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.

4. How to Find the GCF of 2940 and 2946?

Answer:

Greatest Common Factor of 2940 and 2946 = 6

Step 1: Find the prime factorization of 2940

2940 = 2 x 2 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 2946

2946 = 2 x 3 x 491

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2940 and 2946 is 6