What is the Greatest Common Factor of 72214 and 72225?

Greatest common factor (GCF) of 72214 and 72225 is 1.

GCF(72214,72225) = 1

We will now calculate the prime factors of 72214 and 72225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72214 and 72225.

How to find the GCF of 72214 and 72225?

We will first find the prime factorization of 72214 and 72225. After we will calculate the factors of 72214 and 72225 and find the biggest common factor number .

Step-1: Prime Factorization of 72214

Prime factors of 72214 are 2, 36107. Prime factorization of 72214 in exponential form is:

72214 = 2¹ × 36107¹

Step-2: 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-3: Factors of 72214

List of positive integer factors of 72214 that divides 72214 without a remainder.

1, 2, 36107

Step-4: Factors of 72225

List of positive integer factors of 72225 that divides 72214 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72214 and 72225. The biggest common factor number is the GCF number.
So the greatest common factor 72214 and 72225 is 1.

Also check out the Least Common Multiple of 72214 and 72225