Greatest Common Factor of 2928 and 2934

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 2928, 2934 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2928 and 2934 is 6.

GCF(2928,2934) = 6

GCF of 2928 and 2934

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

GCF of:
and

Greatest Common Factor of 2928 and 2934

GCF of 2928 and 2934 is 6

Prime Factorization of 2928


2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 2928 are 2,3,61. Prime factorization of 2928 in exponential form is:

2928 = 24×31×611

Prime Factorization of 2934


2 2934
3 1467
3 489
163 163
1

Prime factors of 2934 are 2,3,163. Prime factorization of 2934 in exponential form is:

2934 = 21×32×1631

∴ So by taking common prime factors GCF of 2928 and 2934 is 6

Greatest Common Factor of 2928 and 2934 by matching factors method

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Factors of 2934

List of positive integer factors of 2934 that divides 2934 without a remainder.

1,2,3,6,9,18,163,326,489,978,1467,2934

Greatest Common Factor

We found the factors and prime factorization of 2928 and 2934. The biggest common factor number is the GCF number.
So the greatest common factor 2928 and 2934 is 6.

Also check out the Least Common Multiple of 2928 and 2934

Properties of GCF 2928 and 2934

(i) The GCF of 2928 and 2934 is associative

GCF of 2928 and 2934 = GCF of 2934 and 2928

Related Greatest Common Factor of 2928

Related Greatest Common Factor of 2934

Frequently Asked Questions on GCF of 2928 and 2934

1. What is the GCF of 2928 and 2934?

Answer: GCF of 2928 and 2934 is 6.

2. What are the Factors of 2928?

Answer: Factors of 2928 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928. There are 20 integers that are factors of 2928. The greatest factor of 2928 is 2928.

3. What are the Factors of 2934?

Answer: Factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934. There are 12 integers that are factors of 2934. The greatest factor of 2934 is 2934.

4. How to Find the GCF of 2928 and 2934?

Answer:

Greatest Common Factor of 2928 and 2934 = 6

Step 1: Find the prime factorization of 2928

2928 = 2 x 2 x 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 2934

2934 = 2 x 3 x 3 x 163

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2928 and 2934 is 6