Greatest Common Factor of 8878 and 8880

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 8878, 8880 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8878 and 8880 is 2.

GCF(8878,8880) = 2

GCF of 8878 and 8880

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

GCF of:
and

Greatest Common Factor of 8878 and 8880

GCF of 8878 and 8880 is 2

Prime Factorization of 8878


2 8878
23 4439
193 193
1

Prime factors of 8878 are 2,23,193. Prime factorization of 8878 in exponential form is:

8878 = 21×231×1931

Prime Factorization of 8880


2 8880
2 4440
2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 8880 are 2,3,5,37. Prime factorization of 8880 in exponential form is:

8880 = 24×31×51×371

∴ So by taking common prime factors GCF of 8878 and 8880 is 2

Greatest Common Factor of 8878 and 8880 by matching factors method

Factors of 8878

List of positive integer factors of 8878 that divides 8878 without a remainder.

1,2,23,46,193,386,4439,8878

Factors of 8880

List of positive integer factors of 8880 that divides 8880 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880

Greatest Common Factor

We found the factors and prime factorization of 8878 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8878 and 8880 is 2.

Also check out the Least Common Multiple of 8878 and 8880

Properties of GCF 8878 and 8880

(i) The GCF of 8878 and 8880 is associative

GCF of 8878 and 8880 = GCF of 8880 and 8878

Related Greatest Common Factor of 8878

Related Greatest Common Factor of 8880

Frequently Asked Questions on GCF of 8878 and 8880

1. What is the GCF of 8878 and 8880?

Answer: GCF of 8878 and 8880 is 2.

2. What are the Factors of 8878?

Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.

3. What are the Factors of 8880?

Answer: Factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880. There are 40 integers that are factors of 8880. The greatest factor of 8880 is 8880.

4. How to Find the GCF of 8878 and 8880?

Answer:

Greatest Common Factor of 8878 and 8880 = 2

Step 1: Find the prime factorization of 8878

8878 = 2 x 23 x 193

Step 2: Find the prime factorization of 8880

8880 = 2 x 2 x 2 x 2 x 3 x 5 x 37

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 8878 and 8880 is 2