Greatest Common Factor of 8877 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 8877, 8880 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8877 and 8880 is 3.

GCF(8877,8880) = 3

GCF of 8877 and 8880

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

GCF of:
and

Greatest Common Factor of 8877 and 8880

GCF of 8877 and 8880 is 3

Prime Factorization of 8877


3 8877
11 2959
269 269
1

Prime factors of 8877 are 3,11,269. Prime factorization of 8877 in exponential form is:

8877 = 31×111×2691

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 8877 and 8880 is 3

Greatest Common Factor of 8877 and 8880 by matching factors method

Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

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 8877 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8877 and 8880 is 3.

Also check out the Least Common Multiple of 8877 and 8880

Properties of GCF 8877 and 8880

(i) The GCF of 8877 and 8880 is associative

GCF of 8877 and 8880 = GCF of 8880 and 8877

Related Greatest Common Factor of 8877

Related Greatest Common Factor of 8880

Frequently Asked Questions on GCF of 8877 and 8880

1. What is the GCF of 8877 and 8880?

Answer: GCF of 8877 and 8880 is 3.

2. What are the Factors of 8877?

Answer: Factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877. There are 8 integers that are factors of 8877. The greatest factor of 8877 is 8877.

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 8877 and 8880?

Answer:

Greatest Common Factor of 8877 and 8880 = 3

Step 1: Find the prime factorization of 8877

8877 = 3 x 11 x 269

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 = 3

Step 4: Therefore, the greatest common factor of 8877 and 8880 is 3