Greatest Common Factor of 8900 and 8904

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, 8904 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8900 and 8904 is 4.

GCF(8900,8904) = 4

GCF of 8900 and 8904

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

GCF of:
and

Greatest Common Factor of 8900 and 8904

GCF of 8900 and 8904 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 8904


2 8904
2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 8904 are 2,3,7,53. Prime factorization of 8904 in exponential form is:

8904 = 23×31×71×531

∴ So by taking common prime factors GCF of 8900 and 8904 is 4

Greatest Common Factor of 8900 and 8904 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 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors and prime factorization of 8900 and 8904. The biggest common factor number is the GCF number.
So the greatest common factor 8900 and 8904 is 4.

Also check out the Least Common Multiple of 8900 and 8904

Properties of GCF 8900 and 8904

(i) The GCF of 8900 and 8904 is associative

GCF of 8900 and 8904 = GCF of 8904 and 8900

Related Greatest Common Factor of 8900

Related Greatest Common Factor of 8904

Frequently Asked Questions on GCF of 8900 and 8904

1. What is the GCF of 8900 and 8904?

Answer: GCF of 8900 and 8904 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 8904?

Answer: Factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. There are 32 integers that are factors of 8904. The greatest factor of 8904 is 8904.

4. How to Find the GCF of 8900 and 8904?

Answer:

Greatest Common Factor of 8900 and 8904 = 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 8904

8904 = 2 x 2 x 2 x 3 x 7 x 53

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 8904 is 4