What is the Greatest Common Factor of 73226 and 73230?

Greatest common factor (GCF) of 73226 and 73230 is 2.

GCF(73226,73230) = 2

We will now calculate the prime factors of 73226 and 73230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73226 and 73230.

How to find the GCF of 73226 and 73230?

We will first find the prime factorization of 73226 and 73230. After we will calculate the factors of 73226 and 73230 and find the biggest common factor number .

Step-1: Prime Factorization of 73226

Prime factors of 73226 are 2, 19, 41, 47. Prime factorization of 73226 in exponential form is:

73226 = 2¹ × 19¹ × 41¹ × 47¹

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 73226

List of positive integer factors of 73226 that divides 73226 without a remainder.

1, 2, 19, 38, 41, 47, 82, 94, 779, 893, 1558, 1786, 1927, 3854, 36613

Step-4: Factors of 73230

List of positive integer factors of 73230 that divides 73226 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 73226 and 73230. The biggest common factor number is the GCF number.
So the greatest common factor 73226 and 73230 is 2.

Also check out the Least Common Multiple of 73226 and 73230