What is the Greatest Common Factor of 45225 and 45229?

Greatest common factor (GCF) of 45225 and 45229 is 1.

GCF(45225,45229) = 1

We will now calculate the prime factors of 45225 and 45229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45225 and 45229.

How to find the GCF of 45225 and 45229?

We will first find the prime factorization of 45225 and 45229. After we will calculate the factors of 45225 and 45229 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 45229

Prime factors of 45229 are 31, 1459. Prime factorization of 45229 in exponential form is:

45229 = 31¹ × 1459¹

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 45229

List of positive integer factors of 45229 that divides 45225 without a remainder.

1, 31, 1459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45225 and 45229. The biggest common factor number is the GCF number.
So the greatest common factor 45225 and 45229 is 1.

Also check out the Least Common Multiple of 45225 and 45229