Greatest Common Factor of 2966 and 2974

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 2966, 2974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2966 and 2974 is 2.

GCF(2966,2974) = 2

GCF of 2966 and 2974

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

GCF of:
and

Greatest Common Factor of 2966 and 2974

GCF of 2966 and 2974 is 2

Prime Factorization of 2966


2 2966
1483 1483
1

Prime factors of 2966 are 2,1483. Prime factorization of 2966 in exponential form is:

2966 = 21×14831

Prime Factorization of 2974


2 2974
1487 1487
1

Prime factors of 2974 are 2,1487. Prime factorization of 2974 in exponential form is:

2974 = 21×14871

∴ So by taking common prime factors GCF of 2966 and 2974 is 2

Greatest Common Factor of 2966 and 2974 by matching factors method

Factors of 2966

List of positive integer factors of 2966 that divides 2966 without a remainder.

1,2,1483,2966

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Greatest Common Factor

We found the factors and prime factorization of 2966 and 2974. The biggest common factor number is the GCF number.
So the greatest common factor 2966 and 2974 is 2.

Also check out the Least Common Multiple of 2966 and 2974

Properties of GCF 2966 and 2974

(i) The GCF of 2966 and 2974 is associative

GCF of 2966 and 2974 = GCF of 2974 and 2966

Related Greatest Common Factor of 2966

Related Greatest Common Factor of 2974

Frequently Asked Questions on GCF of 2966 and 2974

1. What is the GCF of 2966 and 2974?

Answer: GCF of 2966 and 2974 is 2.

2. What are the Factors of 2966?

Answer: Factors of 2966 are 1, 2, 1483, 2966. There are 4 integers that are factors of 2966. The greatest factor of 2966 is 2966.

3. What are the Factors of 2974?

Answer: Factors of 2974 are 1, 2, 1487, 2974. There are 4 integers that are factors of 2974. The greatest factor of 2974 is 2974.

4. How to Find the GCF of 2966 and 2974?

Answer:

Greatest Common Factor of 2966 and 2974 = 2

Step 1: Find the prime factorization of 2966

2966 = 2 x 1483

Step 2: Find the prime factorization of 2974

2974 = 2 x 1487

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 2966 and 2974 is 2