What is the Greatest Common Factor of 22865 and 22882?

Greatest common factor (GCF) of 22865 and 22882 is 17.

GCF(22865,22882) = 17

We will now calculate the prime factors of 22865 and 22882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22865 and 22882.

How to find the GCF of 22865 and 22882?

We will first find the prime factorization of 22865 and 22882. After we will calculate the factors of 22865 and 22882 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 22882

Prime factors of 22882 are 2, 17, 673. Prime factorization of 22882 in exponential form is:

22882 = 2¹ × 17¹ × 673¹

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 22882

List of positive integer factors of 22882 that divides 22865 without a remainder.

1, 2, 17, 34, 673, 1346, 11441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22865 and 22882. The biggest common factor number is the GCF number.
So the greatest common factor 22865 and 22882 is 17.

Also check out the Least Common Multiple of 22865 and 22882