What is the Greatest Common Factor of 22305 and 22325?

Greatest common factor (GCF) of 22305 and 22325 is 5.

GCF(22305,22325) = 5

We will now calculate the prime factors of 22305 and 22325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22305 and 22325.

How to find the GCF of 22305 and 22325?

We will first find the prime factorization of 22305 and 22325. After we will calculate the factors of 22305 and 22325 and find the biggest common factor number .

Step-1: Prime Factorization of 22305

Prime factors of 22305 are 3, 5, 1487. Prime factorization of 22305 in exponential form is:

22305 = 3¹ × 5¹ × 1487¹

Step-2: Prime Factorization of 22325

Prime factors of 22325 are 5, 19, 47. Prime factorization of 22325 in exponential form is:

22325 = 5² × 19¹ × 47¹

Step-3: Factors of 22305

List of positive integer factors of 22305 that divides 22305 without a remainder.

1, 3, 5, 15, 1487, 4461, 7435

Step-4: Factors of 22325

List of positive integer factors of 22325 that divides 22305 without a remainder.

1, 5, 19, 25, 47, 95, 235, 475, 893, 1175, 4465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22305 and 22325. The biggest common factor number is the GCF number.
So the greatest common factor 22305 and 22325 is 5.

Also check out the Least Common Multiple of 22305 and 22325