What is the Greatest Common Factor of 45225 and 45233?

Greatest common factor (GCF) of 45225 and 45233 is 1.

GCF(45225,45233) = 1

We will now calculate the prime factors of 45225 and 45233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45225 and 45233.

How to find the GCF of 45225 and 45233?

We will first find the prime factorization of 45225 and 45233. After we will calculate the factors of 45225 and 45233 and find the biggest common factor number .

Step-1: Prime Factorization of 45225

Prime factors of 45225 are 3, 5, 67. Prime factorization of 45225 in exponential form is:

45225 = 3³ × 5² × 67¹

Step-2: Prime Factorization of 45233

Prime factors of 45233 are 45233. Prime factorization of 45233 in exponential form is:

45233 = 45233¹

Step-3: Factors of 45225

List of positive integer factors of 45225 that divides 45225 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 67, 75, 135, 201, 225, 335, 603, 675, 1005, 1675, 1809, 3015, 5025, 9045, 15075

Step-4: Factors of 45233

List of positive integer factors of 45233 that divides 45225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45225 and 45233. The biggest common factor number is the GCF number.
So the greatest common factor 45225 and 45233 is 1.

Also check out the Least Common Multiple of 45225 and 45233