What is the Greatest Common Factor of 22325 and 22332?

Greatest common factor (GCF) of 22325 and 22332 is 1.

GCF(22325,22332) = 1

We will now calculate the prime factors of 22325 and 22332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22325 and 22332.

How to find the GCF of 22325 and 22332?

We will first find the prime factorization of 22325 and 22332. After we will calculate the factors of 22325 and 22332 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22332

Prime factors of 22332 are 2, 3, 1861. Prime factorization of 22332 in exponential form is:

22332 = 2² × 3¹ × 1861¹

Step-3: Factors of 22325

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

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

Step-4: Factors of 22332

List of positive integer factors of 22332 that divides 22325 without a remainder.

1, 2, 3, 4, 6, 12, 1861, 3722, 5583, 7444, 11166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22325 and 22332. The biggest common factor number is the GCF number.
So the greatest common factor 22325 and 22332 is 1.

Also check out the Least Common Multiple of 22325 and 22332