What is the Greatest Common Factor of 22875 and 22880?

Greatest common factor (GCF) of 22875 and 22880 is 5.

GCF(22875,22880) = 5

We will now calculate the prime factors of 22875 and 22880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22875 and 22880.

How to find the GCF of 22875 and 22880?

We will first find the prime factorization of 22875 and 22880. After we will calculate the factors of 22875 and 22880 and find the biggest common factor number .

Step-1: Prime Factorization of 22875

Prime factors of 22875 are 3, 5, 61. Prime factorization of 22875 in exponential form is:

22875 = 3¹ × 5³ × 61¹

Step-2: Prime Factorization of 22880

Prime factors of 22880 are 2, 5, 11, 13. Prime factorization of 22880 in exponential form is:

22880 = 2⁵ × 5¹ × 11¹ × 13¹

Step-3: Factors of 22875

List of positive integer factors of 22875 that divides 22875 without a remainder.

1, 3, 5, 15, 25, 61, 75, 125, 183, 305, 375, 915, 1525, 4575, 7625

Step-4: Factors of 22880

List of positive integer factors of 22880 that divides 22875 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 160, 176, 208, 220, 260, 286, 352, 416, 440, 520, 572, 715, 880, 1040, 1144, 1430, 1760, 2080, 2288, 2860, 4576, 5720, 11440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22875 and 22880. The biggest common factor number is the GCF number.
So the greatest common factor 22875 and 22880 is 5.

Also check out the Least Common Multiple of 22875 and 22880