Greatest Common Factor of 8900 and 8908

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, 8908 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8900 and 8908 is 4.

GCF(8900,8908) = 4

GCF of 8900 and 8908

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

GCF of:
and

Greatest Common Factor of 8900 and 8908

GCF of 8900 and 8908 is 4

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 8908


2 8908
2 4454
17 2227
131 131
1

Prime factors of 8908 are 2,17,131. Prime factorization of 8908 in exponential form is:

8908 = 22×171×1311

∴ So by taking common prime factors GCF of 8900 and 8908 is 4

Greatest Common Factor of 8900 and 8908 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 8908

List of positive integer factors of 8908 that divides 8908 without a remainder.

1,2,4,17,34,68,131,262,524,2227,4454,8908

Greatest Common Factor

We found the factors and prime factorization of 8900 and 8908. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8908 is 4.

Also check out the Least Common Multiple of 8900 and 8908

Properties of GCF 8900 and 8908

(i) The GCF of 8900 and 8908 is associative

GCF of 8900 and 8908 = GCF of 8908 and 8900

Related Greatest Common Factor of 8900

Related Greatest Common Factor of 8908

Frequently Asked Questions on GCF of 8900 and 8908

1. What is the GCF of 8900 and 8908?

Answer: GCF of 8900 and 8908 is 4.

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 8908?

Answer: Factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908. There are 12 integers that are factors of 8908. The greatest factor of 8908 is 8908.

4. How to Find the GCF of 8900 and 8908?

Answer:

Greatest Common Factor of 8900 and 8908 = 4

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 8908

8908 = 2 x 2 x 17 x 131

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8900 and 8908 is 4