Greatest Common Factor of 2944 and 2950

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 2944, 2950 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2944 and 2950 is 2.

GCF(2944,2950) = 2

GCF of 2944 and 2950

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

GCF of:
and

Greatest Common Factor of 2944 and 2950

GCF of 2944 and 2950 is 2

Prime Factorization of 2944


2 2944
2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 2944 are 2,23. Prime factorization of 2944 in exponential form is:

2944 = 27×231

Prime Factorization of 2950


2 2950
5 1475
5 295
59 59
1

Prime factors of 2950 are 2,5,59. Prime factorization of 2950 in exponential form is:

2950 = 21×52×591

∴ So by taking common prime factors GCF of 2944 and 2950 is 2

Greatest Common Factor of 2944 and 2950 by matching factors method

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1,2,5,10,25,50,59,118,295,590,1475,2950

Greatest Common Factor

We found the factors and prime factorization of 2944 and 2950. The biggest common factor number is the GCF number.
So the greatest common factor 2944 and 2950 is 2.

Also check out the Least Common Multiple of 2944 and 2950

Properties of GCF 2944 and 2950

(i) The GCF of 2944 and 2950 is associative

GCF of 2944 and 2950 = GCF of 2950 and 2944

Related Greatest Common Factor of 2944

Related Greatest Common Factor of 2950

Frequently Asked Questions on GCF of 2944 and 2950

1. What is the GCF of 2944 and 2950?

Answer: GCF of 2944 and 2950 is 2.

2. What are the Factors of 2944?

Answer: Factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944. There are 16 integers that are factors of 2944. The greatest factor of 2944 is 2944.

3. What are the Factors of 2950?

Answer: Factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950. There are 12 integers that are factors of 2950. The greatest factor of 2950 is 2950.

4. How to Find the GCF of 2944 and 2950?

Answer:

Greatest Common Factor of 2944 and 2950 = 2

Step 1: Find the prime factorization of 2944

2944 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 2950

2950 = 2 x 5 x 5 x 59

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 2944 and 2950 is 2