What is the Greatest Common Factor of 73218 and 73230?

Greatest common factor (GCF) of 73218 and 73230 is 6.

GCF(73218,73230) = 6

We will now calculate the prime factors of 73218 and 73230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73218 and 73230.

How to find the GCF of 73218 and 73230?

We will first find the prime factorization of 73218 and 73230. After we will calculate the factors of 73218 and 73230 and find the biggest common factor number .

Step-1: Prime Factorization of 73218

Prime factors of 73218 are 2, 3, 12203. Prime factorization of 73218 in exponential form is:

73218 = 2¹ × 3¹ × 12203¹

Step-2: 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-3: Factors of 73218

List of positive integer factors of 73218 that divides 73218 without a remainder.

1, 2, 3, 6, 12203, 24406, 36609

Step-4: Factors of 73230

List of positive integer factors of 73230 that divides 73218 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73218 and 73230. The biggest common factor number is the GCF number.
So the greatest common factor 73218 and 73230 is 6.

Also check out the Least Common Multiple of 73218 and 73230