What is the Greatest Common Factor of 72225 and 72238?

Greatest common factor (GCF) of 72225 and 72238 is 1.

GCF(72225,72238) = 1

We will now calculate the prime factors of 72225 and 72238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72225 and 72238.

How to find the GCF of 72225 and 72238?

We will first find the prime factorization of 72225 and 72238. After we will calculate the factors of 72225 and 72238 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 72238

Prime factors of 72238 are 2, 19, 1901. Prime factorization of 72238 in exponential form is:

72238 = 2¹ × 19¹ × 1901¹

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 72238

List of positive integer factors of 72238 that divides 72225 without a remainder.

1, 2, 19, 38, 1901, 3802, 36119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72225 and 72238. The biggest common factor number is the GCF number.
So the greatest common factor 72225 and 72238 is 1.

Also check out the Least Common Multiple of 72225 and 72238