Greatest Common Factor of 8856 and 8864

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 8856, 8864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8856 and 8864 is 8.

GCF(8856,8864) = 8

GCF of 8856 and 8864

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

GCF of:
and

Greatest Common Factor of 8856 and 8864

GCF of 8856 and 8864 is 8

Prime Factorization of 8856


2 8856
2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 8856 are 2,3,41. Prime factorization of 8856 in exponential form is:

8856 = 23×33×411

Prime Factorization of 8864


2 8864
2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 8864 are 2,277. Prime factorization of 8864 in exponential form is:

8864 = 25×2771

∴ So by taking common prime factors GCF of 8856 and 8864 is 8

Greatest Common Factor of 8856 and 8864 by matching factors method

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1,2,4,8,16,32,277,554,1108,2216,4432,8864

Greatest Common Factor

We found the factors and prime factorization of 8856 and 8864. The biggest common factor number is the GCF number.
So the greatest common factor 8856 and 8864 is 8.

Also check out the Least Common Multiple of 8856 and 8864

Properties of GCF 8856 and 8864

(i) The GCF of 8856 and 8864 is associative

GCF of 8856 and 8864 = GCF of 8864 and 8856

Related Greatest Common Factor of 8856

Related Greatest Common Factor of 8864

Frequently Asked Questions on GCF of 8856 and 8864

1. What is the GCF of 8856 and 8864?

Answer: GCF of 8856 and 8864 is 8.

2. What are the Factors of 8856?

Answer: Factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856. There are 32 integers that are factors of 8856. The greatest factor of 8856 is 8856.

3. What are the Factors of 8864?

Answer: Factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864. There are 12 integers that are factors of 8864. The greatest factor of 8864 is 8864.

4. How to Find the GCF of 8856 and 8864?

Answer:

Greatest Common Factor of 8856 and 8864 = 8

Step 1: Find the prime factorization of 8856

8856 = 2 x 2 x 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 8864

8864 = 2 x 2 x 2 x 2 x 2 x 277

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8856 and 8864 is 8