Greatest Common Factor of 8860 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 8860, 8864 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8860 and 8864 is 4.

GCF(8860,8864) = 4

GCF of 8860 and 8864

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

GCF of:
and

Greatest Common Factor of 8860 and 8864

GCF of 8860 and 8864 is 4

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

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 8860 and 8864 is 4

Greatest Common Factor of 8860 and 8864 by matching factors method

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

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 8860 and 8864. The biggest common factor number is the GCF number.
So the greatest common factor 8860 and 8864 is 4.

Also check out the Least Common Multiple of 8860 and 8864

Properties of GCF 8860 and 8864

(i) The GCF of 8860 and 8864 is associative

GCF of 8860 and 8864 = GCF of 8864 and 8860

Related Greatest Common Factor of 8860

Related Greatest Common Factor of 8864

Frequently Asked Questions on GCF of 8860 and 8864

1. What is the GCF of 8860 and 8864?

Answer: GCF of 8860 and 8864 is 4.

2. 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.

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 8860 and 8864?

Answer:

Greatest Common Factor of 8860 and 8864 = 4

Step 1: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

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 = 4

Step 4: Therefore, the greatest common factor of 8860 and 8864 is 4