Greatest Common Factor of 8892 and 8900

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 8892, 8900 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8892 and 8900 is 4.

GCF(8892,8900) = 4

GCF of 8892 and 8900

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

GCF of:
and

Greatest Common Factor of 8892 and 8900

GCF of 8892 and 8900 is 4

Prime Factorization of 8892


2 8892
2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 8892 are 2,3,13,19. Prime factorization of 8892 in exponential form is:

8892 = 22×32×131×191

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

∴ So by taking common prime factors GCF of 8892 and 8900 is 4

Greatest Common Factor of 8892 and 8900 by matching factors method

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

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

Greatest Common Factor

We found the factors and prime factorization of 8892 and 8900. The biggest common factor number is the GCF number.
So the greatest common factor 8892 and 8900 is 4.

Also check out the Least Common Multiple of 8892 and 8900

Properties of GCF 8892 and 8900

(i) The GCF of 8892 and 8900 is associative

GCF of 8892 and 8900 = GCF of 8900 and 8892

Related Greatest Common Factor of 8892

Related Greatest Common Factor of 8900

Frequently Asked Questions on GCF of 8892 and 8900

1. What is the GCF of 8892 and 8900?

Answer: GCF of 8892 and 8900 is 4.

2. What are the Factors of 8892?

Answer: Factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892. There are 36 integers that are factors of 8892. The greatest factor of 8892 is 8892.

3. 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.

4. How to Find the GCF of 8892 and 8900?

Answer:

Greatest Common Factor of 8892 and 8900 = 4

Step 1: Find the prime factorization of 8892

8892 = 2 x 2 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 8900

8900 = 2 x 2 x 5 x 5 x 89

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 8892 and 8900 is 4