Greatest Common Factor of 2936 and 2942

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 2936, 2942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2936 and 2942 is 2.

GCF(2936,2942) = 2

GCF of 2936 and 2942

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

GCF of:
and

Greatest Common Factor of 2936 and 2942

GCF of 2936 and 2942 is 2

Prime Factorization of 2936


2 2936
2 1468
2 734
367 367
1

Prime factors of 2936 are 2,367. Prime factorization of 2936 in exponential form is:

2936 = 23×3671

Prime Factorization of 2942


2 2942
1471 1471
1

Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:

2942 = 21×14711

∴ So by taking common prime factors GCF of 2936 and 2942 is 2

Greatest Common Factor of 2936 and 2942 by matching factors method

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1,2,4,8,367,734,1468,2936

Factors of 2942

List of positive integer factors of 2942 that divides 2942 without a remainder.

1,2,1471,2942

Greatest Common Factor

We found the factors and prime factorization of 2936 and 2942. The biggest common factor number is the GCF number.
So the greatest common factor 2936 and 2942 is 2.

Also check out the Least Common Multiple of 2936 and 2942

Properties of GCF 2936 and 2942

(i) The GCF of 2936 and 2942 is associative

GCF of 2936 and 2942 = GCF of 2942 and 2936

Related Greatest Common Factor of 2936

Related Greatest Common Factor of 2942

Frequently Asked Questions on GCF of 2936 and 2942

1. What is the GCF of 2936 and 2942?

Answer: GCF of 2936 and 2942 is 2.

2. What are the Factors of 2936?

Answer: Factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936. There are 8 integers that are factors of 2936. The greatest factor of 2936 is 2936.

3. What are the Factors of 2942?

Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.

4. How to Find the GCF of 2936 and 2942?

Answer:

Greatest Common Factor of 2936 and 2942 = 2

Step 1: Find the prime factorization of 2936

2936 = 2 x 2 x 2 x 367

Step 2: Find the prime factorization of 2942

2942 = 2 x 1471

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 2936 and 2942 is 2