Greatest Common Factor of 8900 and 8905

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 8900, 8905 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8900 and 8905 is 5.

GCF(8900,8905) = 5

GCF of 8900 and 8905

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

GCF of:
and

Greatest Common Factor of 8900 and 8905

GCF of 8900 and 8905 is 5

Prime Factorization of 8900


2 8900
2 4450
5 2225
5 445
89 89
1

Prime factors of 8900 are 2,5,89. Prime factorization of 8900 in exponential form is:

8900 = 22×52×891

Prime Factorization of 8905


5 8905
13 1781
137 137
1

Prime factors of 8905 are 5,13,137. Prime factorization of 8905 in exponential form is:

8905 = 51×131×1371

∴ So by taking common prime factors GCF of 8900 and 8905 is 5

Greatest Common Factor of 8900 and 8905 by matching factors method

Factors of 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Factors of 8905

List of positive integer factors of 8905 that divides 8905 without a remainder.

1,5,13,65,137,685,1781,8905

Greatest Common Factor

We found the factors and prime factorization of 8900 and 8905. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8905 is 5.

Also check out the Least Common Multiple of 8900 and 8905

Properties of GCF 8900 and 8905

(i) The GCF of 8900 and 8905 is associative

GCF of 8900 and 8905 = GCF of 8905 and 8900

Related Greatest Common Factor of 8900

Related Greatest Common Factor of 8905

Frequently Asked Questions on GCF of 8900 and 8905

1. What is the GCF of 8900 and 8905?

Answer: GCF of 8900 and 8905 is 5.

2. What are the Factors of 8900?

Answer: Factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900. There are 18 integers that are factors of 8900. The greatest factor of 8900 is 8900.

3. What are the Factors of 8905?

Answer: Factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905. There are 8 integers that are factors of 8905. The greatest factor of 8905 is 8905.

4. How to Find the GCF of 8900 and 8905?

Answer:

Greatest Common Factor of 8900 and 8905 = 5

Step 1: Find the prime factorization of 8900

8900 = 2 x 2 x 5 x 5 x 89

Step 2: Find the prime factorization of 8905

8905 = 5 x 13 x 137

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 8900 and 8905 is 5