What is the Greatest Common Factor of 45204 and 45223?

Greatest common factor (GCF) of 45204 and 45223 is 1.

GCF(45204,45223) = 1

We will now calculate the prime factors of 45204 and 45223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45204 and 45223.

How to find the GCF of 45204 and 45223?

We will first find the prime factorization of 45204 and 45223. After we will calculate the factors of 45204 and 45223 and find the biggest common factor number .

Step-1: Prime Factorization of 45204

Prime factors of 45204 are 2, 3, 3767. Prime factorization of 45204 in exponential form is:

45204 = 2² × 3¹ × 3767¹

Step-2: Prime Factorization of 45223

Prime factors of 45223 are 41, 1103. Prime factorization of 45223 in exponential form is:

45223 = 41¹ × 1103¹

Step-3: Factors of 45204

List of positive integer factors of 45204 that divides 45204 without a remainder.

1, 2, 3, 4, 6, 12, 3767, 7534, 11301, 15068, 22602

Step-4: Factors of 45223

List of positive integer factors of 45223 that divides 45204 without a remainder.

1, 41, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45204 and 45223. The biggest common factor number is the GCF number.
So the greatest common factor 45204 and 45223 is 1.

Also check out the Least Common Multiple of 45204 and 45223