Greatest Common Factor of 2950 and 2958

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 2950, 2958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2950 and 2958 is 2.

GCF(2950,2958) = 2

GCF of 2950 and 2958

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

GCF of:
and

Greatest Common Factor of 2950 and 2958

GCF of 2950 and 2958 is 2

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

Prime Factorization of 2958


2 2958
3 1479
17 493
29 29
1

Prime factors of 2958 are 2,3,17,29. Prime factorization of 2958 in exponential form is:

2958 = 21×31×171×291

∴ So by taking common prime factors GCF of 2950 and 2958 is 2

Greatest Common Factor of 2950 and 2958 by matching factors method

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

Factors of 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors and prime factorization of 2950 and 2958. The biggest common factor number is the GCF number.
So the greatest common factor 2950 and 2958 is 2.

Also check out the Least Common Multiple of 2950 and 2958

Properties of GCF 2950 and 2958

(i) The GCF of 2950 and 2958 is associative

GCF of 2950 and 2958 = GCF of 2958 and 2950

Related Greatest Common Factor of 2950

Related Greatest Common Factor of 2958

Frequently Asked Questions on GCF of 2950 and 2958

1. What is the GCF of 2950 and 2958?

Answer: GCF of 2950 and 2958 is 2.

2. 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.

3. What are the Factors of 2958?

Answer: Factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. There are 16 integers that are factors of 2958. The greatest factor of 2958 is 2958.

4. How to Find the GCF of 2950 and 2958?

Answer:

Greatest Common Factor of 2950 and 2958 = 2

Step 1: Find the prime factorization of 2950

2950 = 2 x 5 x 5 x 59

Step 2: Find the prime factorization of 2958

2958 = 2 x 3 x 17 x 29

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 2950 and 2958 is 2