Greatest Common Factor of 8860 and 8862

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, 8862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8860 and 8862 is 2.

GCF(8860,8862) = 2

GCF of 8860 and 8862

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

GCF of:
and

Greatest Common Factor of 8860 and 8862

GCF of 8860 and 8862 is 2

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 8862


2 8862
3 4431
7 1477
211 211
1

Prime factors of 8862 are 2,3,7,211. Prime factorization of 8862 in exponential form is:

8862 = 21×31×71×2111

∴ So by taking common prime factors GCF of 8860 and 8862 is 2

Greatest Common Factor of 8860 and 8862 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 8862

List of positive integer factors of 8862 that divides 8862 without a remainder.

1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862

Greatest Common Factor

We found the factors and prime factorization of 8860 and 8862. The biggest common factor number is the GCF number.
So the greatest common factor 8860 and 8862 is 2.

Also check out the Least Common Multiple of 8860 and 8862

Properties of GCF 8860 and 8862

(i) The GCF of 8860 and 8862 is associative

GCF of 8860 and 8862 = GCF of 8862 and 8860

Related Greatest Common Factor of 8860

Related Greatest Common Factor of 8862

Frequently Asked Questions on GCF of 8860 and 8862

1. What is the GCF of 8860 and 8862?

Answer: GCF of 8860 and 8862 is 2.

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 8862?

Answer: Factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862. There are 16 integers that are factors of 8862. The greatest factor of 8862 is 8862.

4. How to Find the GCF of 8860 and 8862?

Answer:

Greatest Common Factor of 8860 and 8862 = 2

Step 1: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

Step 2: Find the prime factorization of 8862

8862 = 2 x 3 x 7 x 211

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8860 and 8862 is 2