What is the Greatest Common Factor of 73230 and 73243?

Greatest common factor (GCF) of 73230 and 73243 is 1.

GCF(73230,73243) = 1

We will now calculate the prime factors of 73230 and 73243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73230 and 73243.

How to find the GCF of 73230 and 73243?

We will first find the prime factorization of 73230 and 73243. After we will calculate the factors of 73230 and 73243 and find the biggest common factor number .

Step-1: Prime Factorization of 73230

Prime factors of 73230 are 2, 3, 5, 2441. Prime factorization of 73230 in exponential form is:

73230 = 2¹ × 3¹ × 5¹ × 2441¹

Step-2: Prime Factorization of 73243

Prime factors of 73243 are 73243. Prime factorization of 73243 in exponential form is:

73243 = 73243¹

Step-3: Factors of 73230

List of positive integer factors of 73230 that divides 73230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2441, 4882, 7323, 12205, 14646, 24410, 36615

Step-4: Factors of 73243

List of positive integer factors of 73243 that divides 73230 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73230 and 73243. The biggest common factor number is the GCF number.
So the greatest common factor 73230 and 73243 is 1.

Also check out the Least Common Multiple of 73230 and 73243