What is the Greatest Common Factor of 73210 and 73227?

Greatest common factor (GCF) of 73210 and 73227 is 1.

GCF(73210,73227) = 1

We will now calculate the prime factors of 73210 and 73227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73210 and 73227.

How to find the GCF of 73210 and 73227?

We will first find the prime factorization of 73210 and 73227. After we will calculate the factors of 73210 and 73227 and find the biggest common factor number .

Step-1: Prime Factorization of 73210

Prime factors of 73210 are 2, 5, 7321. Prime factorization of 73210 in exponential form is:

73210 = 2¹ × 5¹ × 7321¹

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 73210

List of positive integer factors of 73210 that divides 73210 without a remainder.

1, 2, 5, 10, 7321, 14642, 36605

Step-4: Factors of 73227

List of positive integer factors of 73227 that divides 73210 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 73210 and 73227. The biggest common factor number is the GCF number.
So the greatest common factor 73210 and 73227 is 1.

Also check out the Least Common Multiple of 73210 and 73227