Greatest Common Factor of 2925 and 2928

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 2925, 2928 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2925 and 2928 is 3.

GCF(2925,2928) = 3

GCF of 2925 and 2928

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

GCF of:
and

Greatest Common Factor of 2925 and 2928

GCF of 2925 and 2928 is 3

Prime Factorization of 2925


3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 2925 are 3,5,13. Prime factorization of 2925 in exponential form is:

2925 = 32×52×131

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

∴ So by taking common prime factors GCF of 2925 and 2928 is 3

Greatest Common Factor of 2925 and 2928 by matching factors method

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925

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

Greatest Common Factor

We found the factors and prime factorization of 2925 and 2928. The biggest common factor number is the GCF number.
So the greatest common factor 2925 and 2928 is 3.

Also check out the Least Common Multiple of 2925 and 2928

Properties of GCF 2925 and 2928

(i) The GCF of 2925 and 2928 is associative

GCF of 2925 and 2928 = GCF of 2928 and 2925

Related Greatest Common Factor of 2925

Related Greatest Common Factor of 2928

Frequently Asked Questions on GCF of 2925 and 2928

1. What is the GCF of 2925 and 2928?

Answer: GCF of 2925 and 2928 is 3.

2. What are the Factors of 2925?

Answer: Factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925. There are 18 integers that are factors of 2925. The greatest factor of 2925 is 2925.

3. 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.

4. How to Find the GCF of 2925 and 2928?

Answer:

Greatest Common Factor of 2925 and 2928 = 3

Step 1: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 2928

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2925 and 2928 is 3