What is the Greatest Common Factor of 72201 and 72214?

Greatest common factor (GCF) of 72201 and 72214 is 1.

GCF(72201,72214) = 1

We will now calculate the prime factors of 72201 and 72214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72201 and 72214.

How to find the GCF of 72201 and 72214?

We will first find the prime factorization of 72201 and 72214. After we will calculate the factors of 72201 and 72214 and find the biggest common factor number .

Step-1: Prime Factorization of 72201

Prime factors of 72201 are 3, 41, 587. Prime factorization of 72201 in exponential form is:

72201 = 3¹ × 41¹ × 587¹

Step-2: Prime Factorization of 72214

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

72214 = 2¹ × 36107¹

Step-3: Factors of 72201

List of positive integer factors of 72201 that divides 72201 without a remainder.

1, 3, 41, 123, 587, 1761, 24067

Step-4: Factors of 72214

List of positive integer factors of 72214 that divides 72201 without a remainder.

1, 2, 36107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72201 and 72214. The biggest common factor number is the GCF number.
So the greatest common factor 72201 and 72214 is 1.

Also check out the Least Common Multiple of 72201 and 72214