Greatest Common Factor of 2954 and 2960

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 2954, 2960 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2954 and 2960 is 2.

GCF(2954,2960) = 2

GCF of 2954 and 2960

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

GCF of:
and

Greatest Common Factor of 2954 and 2960

GCF of 2954 and 2960 is 2

Prime Factorization of 2954


2 2954
7 1477
211 211
1

Prime factors of 2954 are 2,7,211. Prime factorization of 2954 in exponential form is:

2954 = 21×71×2111

Prime Factorization of 2960


2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 2960 are 2,5,37. Prime factorization of 2960 in exponential form is:

2960 = 24×51×371

∴ So by taking common prime factors GCF of 2954 and 2960 is 2

Greatest Common Factor of 2954 and 2960 by matching factors method

Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1,2,7,14,211,422,1477,2954

Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960

Greatest Common Factor

We found the factors and prime factorization of 2954 and 2960. The biggest common factor number is the GCF number.
So the greatest common factor 2954 and 2960 is 2.

Also check out the Least Common Multiple of 2954 and 2960

Properties of GCF 2954 and 2960

(i) The GCF of 2954 and 2960 is associative

GCF of 2954 and 2960 = GCF of 2960 and 2954

Related Greatest Common Factor of 2954

Related Greatest Common Factor of 2960

Frequently Asked Questions on GCF of 2954 and 2960

1. What is the GCF of 2954 and 2960?

Answer: GCF of 2954 and 2960 is 2.

2. What are the Factors of 2954?

Answer: Factors of 2954 are 1, 2, 7, 14, 211, 422, 1477, 2954. There are 8 integers that are factors of 2954. The greatest factor of 2954 is 2954.

3. What are the Factors of 2960?

Answer: Factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960. There are 20 integers that are factors of 2960. The greatest factor of 2960 is 2960.

4. How to Find the GCF of 2954 and 2960?

Answer:

Greatest Common Factor of 2954 and 2960 = 2

Step 1: Find the prime factorization of 2954

2954 = 2 x 7 x 211

Step 2: Find the prime factorization of 2960

2960 = 2 x 2 x 2 x 2 x 5 x 37

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 2954 and 2960 is 2