What is the Greatest Common Factor of 58227 and 58245?

Greatest common factor (GCF) of 58227 and 58245 is 3.

GCF(58227,58245) = 3

We will now calculate the prime factors of 58227 and 58245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58227 and 58245.

How to find the GCF of 58227 and 58245?

We will first find the prime factorization of 58227 and 58245. After we will calculate the factors of 58227 and 58245 and find the biggest common factor number .

Step-1: Prime Factorization of 58227

Prime factors of 58227 are 3, 13, 1493. Prime factorization of 58227 in exponential form is:

58227 = 3¹ × 13¹ × 1493¹

Step-2: Prime Factorization of 58245

Prime factors of 58245 are 3, 5, 11, 353. Prime factorization of 58245 in exponential form is:

58245 = 3¹ × 5¹ × 11¹ × 353¹

Step-3: Factors of 58227

List of positive integer factors of 58227 that divides 58227 without a remainder.

1, 3, 13, 39, 1493, 4479, 19409

Step-4: Factors of 58245

List of positive integer factors of 58245 that divides 58227 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 353, 1059, 1765, 3883, 5295, 11649, 19415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58227 and 58245. The biggest common factor number is the GCF number.
So the greatest common factor 58227 and 58245 is 3.

Also check out the Least Common Multiple of 58227 and 58245