What is the Greatest Common Factor of 58245 and 58263?

Greatest common factor (GCF) of 58245 and 58263 is 3.

GCF(58245,58263) = 3

We will now calculate the prime factors of 58245 and 58263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58245 and 58263.

How to find the GCF of 58245 and 58263?

We will first find the prime factorization of 58245 and 58263. After we will calculate the factors of 58245 and 58263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58263

Prime factors of 58263 are 3, 19421. Prime factorization of 58263 in exponential form is:

58263 = 3¹ × 19421¹

Step-3: Factors of 58245

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

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

Step-4: Factors of 58263

List of positive integer factors of 58263 that divides 58245 without a remainder.

1, 3, 19421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58245 and 58263. The biggest common factor number is the GCF number.
So the greatest common factor 58245 and 58263 is 3.

Also check out the Least Common Multiple of 58245 and 58263