What is the Greatest Common Factor of 22335 and 22345?

Greatest common factor (GCF) of 22335 and 22345 is 5.

GCF(22335,22345) = 5

We will now calculate the prime factors of 22335 and 22345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22335 and 22345.

How to find the GCF of 22335 and 22345?

We will first find the prime factorization of 22335 and 22345. After we will calculate the factors of 22335 and 22345 and find the biggest common factor number .

Step-1: Prime Factorization of 22335

Prime factors of 22335 are 3, 5, 1489. Prime factorization of 22335 in exponential form is:

22335 = 3¹ × 5¹ × 1489¹

Step-2: Prime Factorization of 22345

Prime factors of 22345 are 5, 41, 109. Prime factorization of 22345 in exponential form is:

22345 = 5¹ × 41¹ × 109¹

Step-3: Factors of 22335

List of positive integer factors of 22335 that divides 22335 without a remainder.

1, 3, 5, 15, 1489, 4467, 7445

Step-4: Factors of 22345

List of positive integer factors of 22345 that divides 22335 without a remainder.

1, 5, 41, 109, 205, 545, 4469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22335 and 22345. The biggest common factor number is the GCF number.
So the greatest common factor 22335 and 22345 is 5.

Also check out the Least Common Multiple of 22335 and 22345