What is the Greatest Common Factor of 45216 and 45225?

Greatest common factor (GCF) of 45216 and 45225 is 9.

GCF(45216,45225) = 9

We will now calculate the prime factors of 45216 and 45225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45216 and 45225.

How to find the GCF of 45216 and 45225?

We will first find the prime factorization of 45216 and 45225. After we will calculate the factors of 45216 and 45225 and find the biggest common factor number .

Step-1: Prime Factorization of 45216

Prime factors of 45216 are 2, 3, 157. Prime factorization of 45216 in exponential form is:

45216 = 2⁵ × 3² × 157¹

Step-2: 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-3: Factors of 45216

List of positive integer factors of 45216 that divides 45216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 157, 288, 314, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 5024, 5652, 7536, 11304, 15072, 22608

Step-4: Factors of 45225

List of positive integer factors of 45225 that divides 45216 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45216 and 45225. The biggest common factor number is the GCF number.
So the greatest common factor 45216 and 45225 is 9.

Also check out the Least Common Multiple of 45216 and 45225