Greatest Common Factor of 2960 and 2968

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 2960, 2968 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2960 and 2968 is 8.

GCF(2960,2968) = 8

GCF of 2960 and 2968

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

GCF of:
and

Greatest Common Factor of 2960 and 2968

GCF of 2960 and 2968 is 8

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

Prime Factorization of 2968


2 2968
2 1484
2 742
7 371
53 53
1

Prime factors of 2968 are 2,7,53. Prime factorization of 2968 in exponential form is:

2968 = 23×71×531

∴ So by taking common prime factors GCF of 2960 and 2968 is 8

Greatest Common Factor of 2960 and 2968 by matching factors method

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

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors and prime factorization of 2960 and 2968. The biggest common factor number is the GCF number.
So the greatest common factor 2960 and 2968 is 8.

Also check out the Least Common Multiple of 2960 and 2968

Properties of GCF 2960 and 2968

(i) The GCF of 2960 and 2968 is associative

GCF of 2960 and 2968 = GCF of 2968 and 2960

Related Greatest Common Factor of 2960

Related Greatest Common Factor of 2968

Frequently Asked Questions on GCF of 2960 and 2968

1. What is the GCF of 2960 and 2968?

Answer: GCF of 2960 and 2968 is 8.

2. 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.

3. What are the Factors of 2968?

Answer: Factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968. There are 16 integers that are factors of 2968. The greatest factor of 2968 is 2968.

4. How to Find the GCF of 2960 and 2968?

Answer:

Greatest Common Factor of 2960 and 2968 = 8

Step 1: Find the prime factorization of 2960

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

Step 2: Find the prime factorization of 2968

2968 = 2 x 2 x 2 x 7 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2960 and 2968 is 8