What is the Greatest Common Factor of 8875 and 8880?

Greatest common factor (GCF) of 8875 and 8880 is 5.

GCF(8875,8880) = 5

We will now calculate the prime factors of 8875 and 8880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8875 and 8880.

How to find the GCF of 8875 and 8880?

We will first find the prime factorization of 8875 and 8880. After we will calculate the factors of 8875 and 8880 and find the biggest common factor number .

Step-1: Prime Factorization of 8875

Prime factors of 8875 are 5, 71. Prime factorization of 8875 in exponential form is:

8875 = 5³ × 71¹

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 8875

List of positive integer factors of 8875 that divides 8875 without a remainder.

1, 5, 25, 71, 125, 355, 1775

Step-4: Factors of 8880

List of positive integer factors of 8880 that divides 8875 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 8875 and 8880. The biggest common factor number is the GCF number.
So the greatest common factor 8875 and 8880 is 5.

Also check out the Least Common Multiple of 8875 and 8880