What is the Greatest Common Factor of 22865 and 22875?

Greatest common factor (GCF) of 22865 and 22875 is 5.

GCF(22865,22875) = 5

We will now calculate the prime factors of 22865 and 22875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22865 and 22875.

How to find the GCF of 22865 and 22875?

We will first find the prime factorization of 22865 and 22875. After we will calculate the factors of 22865 and 22875 and find the biggest common factor number .

Step-1: Prime Factorization of 22865

Prime factors of 22865 are 5, 17, 269. Prime factorization of 22865 in exponential form is:

22865 = 5¹ × 17¹ × 269¹

Step-2: 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-3: Factors of 22865

List of positive integer factors of 22865 that divides 22865 without a remainder.

1, 5, 17, 85, 269, 1345, 4573

Step-4: Factors of 22875

List of positive integer factors of 22875 that divides 22865 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22865 and 22875. The biggest common factor number is the GCF number.
So the greatest common factor 22865 and 22875 is 5.

Also check out the Least Common Multiple of 22865 and 22875