What is the Greatest Common Factor of 8880 and 8885?

Greatest common factor (GCF) of 8880 and 8885 is 5.

GCF(8880,8885) = 5

We will now calculate the prime factors of 8880 and 8885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8880 and 8885.

How to find the GCF of 8880 and 8885?

We will first find the prime factorization of 8880 and 8885. After we will calculate the factors of 8880 and 8885 and find the biggest common factor number .

Step-1: Prime Factorization of 8880

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

8880 = 2⁴ × 3¹ × 5¹ × 37¹

Step-2: Prime Factorization of 8885

Prime factors of 8885 are 5, 1777. Prime factorization of 8885 in exponential form is:

8885 = 5¹ × 1777¹

Step-3: 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

Step-4: Factors of 8885

List of positive integer factors of 8885 that divides 8880 without a remainder.

1, 5, 1777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8880 and 8885. The biggest common factor number is the GCF number.
So the greatest common factor 8880 and 8885 is 5.

Also check out the Least Common Multiple of 8880 and 8885