Greatest Common Factor of 8856 and 8860

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, 8860 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8856 and 8860 is 4.

GCF(8856,8860) = 4

GCF of 8856 and 8860

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

GCF of:
and

Greatest Common Factor of 8856 and 8860

GCF of 8856 and 8860 is 4

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 8860


2 8860
2 4430
5 2215
443 443
1

Prime factors of 8860 are 2,5,443. Prime factorization of 8860 in exponential form is:

8860 = 22×51×4431

∴ So by taking common prime factors GCF of 8856 and 8860 is 4

Greatest Common Factor of 8856 and 8860 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 8860

List of positive integer factors of 8860 that divides 8860 without a remainder.

1,2,4,5,10,20,443,886,1772,2215,4430,8860

Greatest Common Factor

We found the factors and prime factorization of 8856 and 8860. The biggest common factor number is the GCF number.
So the greatest common factor 8856 and 8860 is 4.

Also check out the Least Common Multiple of 8856 and 8860

Properties of GCF 8856 and 8860

(i) The GCF of 8856 and 8860 is associative

GCF of 8856 and 8860 = GCF of 8860 and 8856

Related Greatest Common Factor of 8856

Related Greatest Common Factor of 8860

Frequently Asked Questions on GCF of 8856 and 8860

1. What is the GCF of 8856 and 8860?

Answer: GCF of 8856 and 8860 is 4.

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 8860?

Answer: Factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860. There are 12 integers that are factors of 8860. The greatest factor of 8860 is 8860.

4. How to Find the GCF of 8856 and 8860?

Answer:

Greatest Common Factor of 8856 and 8860 = 4

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 8860

8860 = 2 x 2 x 5 x 443

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 8856 and 8860 is 4