What is the Greatest Common Factor of 72225 and 72245?

Greatest common factor (GCF) of 72225 and 72245 is 5.

GCF(72225,72245) = 5

We will now calculate the prime factors of 72225 and 72245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72225 and 72245.

How to find the GCF of 72225 and 72245?

We will first find the prime factorization of 72225 and 72245. After we will calculate the factors of 72225 and 72245 and find the biggest common factor number .

Step-1: Prime Factorization of 72225

Prime factors of 72225 are 3, 5, 107. Prime factorization of 72225 in exponential form is:

72225 = 3³ × 5² × 107¹

Step-2: Prime Factorization of 72245

Prime factors of 72245 are 5, 14449. Prime factorization of 72245 in exponential form is:

72245 = 5¹ × 14449¹

Step-3: Factors of 72225

List of positive integer factors of 72225 that divides 72225 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 107, 135, 225, 321, 535, 675, 963, 1605, 2675, 2889, 4815, 8025, 14445, 24075

Step-4: Factors of 72245

List of positive integer factors of 72245 that divides 72225 without a remainder.

1, 5, 14449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72225 and 72245. The biggest common factor number is the GCF number.
So the greatest common factor 72225 and 72245 is 5.

Also check out the Least Common Multiple of 72225 and 72245