Greatest Common Factor of 2900 and 2905

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 2900, 2905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2900 and 2905 is 5.

GCF(2900,2905) = 5

GCF of 2900 and 2905

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

GCF of:
and

Greatest Common Factor of 2900 and 2905

GCF of 2900 and 2905 is 5

Prime Factorization of 2900


2 2900
2 1450
5 725
5 145
29 29
1

Prime factors of 2900 are 2,5,29. Prime factorization of 2900 in exponential form is:

2900 = 22×52×291

Prime Factorization of 2905


5 2905
7 581
83 83
1

Prime factors of 2905 are 5,7,83. Prime factorization of 2905 in exponential form is:

2905 = 51×71×831

∴ So by taking common prime factors GCF of 2900 and 2905 is 5

Greatest Common Factor of 2900 and 2905 by matching factors method

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Factors of 2905

List of positive integer factors of 2905 that divides 2905 without a remainder.

1,5,7,35,83,415,581,2905

Greatest Common Factor

We found the factors and prime factorization of 2900 and 2905. The biggest common factor number is the GCF number.
So the greatest common factor 2900 and 2905 is 5.

Also check out the Least Common Multiple of 2900 and 2905

Properties of GCF 2900 and 2905

(i) The GCF of 2900 and 2905 is associative

GCF of 2900 and 2905 = GCF of 2905 and 2900

Related Greatest Common Factor of 2900

Related Greatest Common Factor of 2905

Frequently Asked Questions on GCF of 2900 and 2905

1. What is the GCF of 2900 and 2905?

Answer: GCF of 2900 and 2905 is 5.

2. What are the Factors of 2900?

Answer: Factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900. There are 18 integers that are factors of 2900. The greatest factor of 2900 is 2900.

3. What are the Factors of 2905?

Answer: Factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905. There are 8 integers that are factors of 2905. The greatest factor of 2905 is 2905.

4. How to Find the GCF of 2900 and 2905?

Answer:

Greatest Common Factor of 2900 and 2905 = 5

Step 1: Find the prime factorization of 2900

2900 = 2 x 2 x 5 x 5 x 29

Step 2: Find the prime factorization of 2905

2905 = 5 x 7 x 83

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2900 and 2905 is 5