Greatest Common Factor of 8892 and 8896

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, 8896 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8892 and 8896 is 4.

GCF(8892,8896) = 4

GCF of 8892 and 8896

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

GCF of:
and

Greatest Common Factor of 8892 and 8896

GCF of 8892 and 8896 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 8896


2 8896
2 4448
2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 8896 are 2,139. Prime factorization of 8896 in exponential form is:

8896 = 26×1391

∴ So by taking common prime factors GCF of 8892 and 8896 is 4

Greatest Common Factor of 8892 and 8896 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 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Greatest Common Factor

We found the factors and prime factorization of 8892 and 8896. The biggest common factor number is the GCF number.
So the greatest common factor 8892 and 8896 is 4.

Also check out the Least Common Multiple of 8892 and 8896

Properties of GCF 8892 and 8896

(i) The GCF of 8892 and 8896 is associative

GCF of 8892 and 8896 = GCF of 8896 and 8892

Related Greatest Common Factor of 8892

Related Greatest Common Factor of 8896

Frequently Asked Questions on GCF of 8892 and 8896

1. What is the GCF of 8892 and 8896?

Answer: GCF of 8892 and 8896 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 8896?

Answer: Factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896. There are 14 integers that are factors of 8896. The greatest factor of 8896 is 8896.

4. How to Find the GCF of 8892 and 8896?

Answer:

Greatest Common Factor of 8892 and 8896 = 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 8896

8896 = 2 x 2 x 2 x 2 x 2 x 2 x 139

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 8896 is 4