What is the Greatest Common Factor of 72225 and 72235?

Greatest common factor (GCF) of 72225 and 72235 is 5.

GCF(72225,72235) = 5

We will now calculate the prime factors of 72225 and 72235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72225 and 72235.

How to find the GCF of 72225 and 72235?

We will first find the prime factorization of 72225 and 72235. After we will calculate the factors of 72225 and 72235 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 72235

Prime factors of 72235 are 5, 14447. Prime factorization of 72235 in exponential form is:

72235 = 5¹ × 14447¹

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 72235

List of positive integer factors of 72235 that divides 72225 without a remainder.

1, 5, 14447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72225 and 72235. The biggest common factor number is the GCF number.
So the greatest common factor 72225 and 72235 is 5.

Also check out the Least Common Multiple of 72225 and 72235