What is the Greatest Common Factor of 73214 and 73227?

Greatest common factor (GCF) of 73214 and 73227 is 1.

GCF(73214,73227) = 1

We will now calculate the prime factors of 73214 and 73227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73214 and 73227.

How to find the GCF of 73214 and 73227?

We will first find the prime factorization of 73214 and 73227. After we will calculate the factors of 73214 and 73227 and find the biggest common factor number .

Step-1: Prime Factorization of 73214

Prime factors of 73214 are 2, 36607. Prime factorization of 73214 in exponential form is:

73214 = 2¹ × 36607¹

Step-2: Prime Factorization of 73227

Prime factors of 73227 are 3, 7, 11, 317. Prime factorization of 73227 in exponential form is:

73227 = 3¹ × 7¹ × 11¹ × 317¹

Step-3: Factors of 73214

List of positive integer factors of 73214 that divides 73214 without a remainder.

1, 2, 36607

Step-4: Factors of 73227

List of positive integer factors of 73227 that divides 73214 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 317, 951, 2219, 3487, 6657, 10461, 24409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73214 and 73227. The biggest common factor number is the GCF number.
So the greatest common factor 73214 and 73227 is 1.

Also check out the Least Common Multiple of 73214 and 73227