Greatest Common Factor of 2922 and 2925

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 2922, 2925 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2922 and 2925 is 3.

GCF(2922,2925) = 3

GCF of 2922 and 2925

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

GCF of:
and

Greatest Common Factor of 2922 and 2925

GCF of 2922 and 2925 is 3

Prime Factorization of 2922


2 2922
3 1461
487 487
1

Prime factors of 2922 are 2,3,487. Prime factorization of 2922 in exponential form is:

2922 = 21×31×4871

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

∴ So by taking common prime factors GCF of 2922 and 2925 is 3

Greatest Common Factor of 2922 and 2925 by matching factors method

Factors of 2922

List of positive integer factors of 2922 that divides 2922 without a remainder.

1,2,3,6,487,974,1461,2922

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

Greatest Common Factor

We found the factors and prime factorization of 2922 and 2925. The biggest common factor number is the GCF number.
So the greatest common factor 2922 and 2925 is 3.

Also check out the Least Common Multiple of 2922 and 2925

Properties of GCF 2922 and 2925

(i) The GCF of 2922 and 2925 is associative

GCF of 2922 and 2925 = GCF of 2925 and 2922

Related Greatest Common Factor of 2922

Related Greatest Common Factor of 2925

Frequently Asked Questions on GCF of 2922 and 2925

1. What is the GCF of 2922 and 2925?

Answer: GCF of 2922 and 2925 is 3.

2. What are the Factors of 2922?

Answer: Factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922. There are 8 integers that are factors of 2922. The greatest factor of 2922 is 2922.

3. 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.

4. How to Find the GCF of 2922 and 2925?

Answer:

Greatest Common Factor of 2922 and 2925 = 3

Step 1: Find the prime factorization of 2922

2922 = 2 x 3 x 487

Step 2: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

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 2922 and 2925 is 3