What is the Greatest Common Factor of 8865 and 8880?

Greatest common factor (GCF) of 8865 and 8880 is 15.

GCF(8865,8880) = 15

We will now calculate the prime factors of 8865 and 8880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8865 and 8880.

How to find the GCF of 8865 and 8880?

We will first find the prime factorization of 8865 and 8880. After we will calculate the factors of 8865 and 8880 and find the biggest common factor number .

Step-1: Prime Factorization of 8865

Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:

8865 = 3² × 5¹ × 197¹

Step-2: 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-3: Factors of 8865

List of positive integer factors of 8865 that divides 8865 without a remainder.

1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955

Step-4: Factors of 8880

List of positive integer factors of 8880 that divides 8865 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8865 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8865 and 8880 is 15.

Also check out the Least Common Multiple of 8865 and 8880