What is the Greatest Common Factor of 58245 and 58255?

Greatest common factor (GCF) of 58245 and 58255 is 5.

GCF(58245,58255) = 5

We will now calculate the prime factors of 58245 and 58255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58245 and 58255.

How to find the GCF of 58245 and 58255?

We will first find the prime factorization of 58245 and 58255. After we will calculate the factors of 58245 and 58255 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 58255

Prime factors of 58255 are 5, 61, 191. Prime factorization of 58255 in exponential form is:

58255 = 5¹ × 61¹ × 191¹

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 58255

List of positive integer factors of 58255 that divides 58245 without a remainder.

1, 5, 61, 191, 305, 955, 11651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58245 and 58255. The biggest common factor number is the GCF number.
So the greatest common factor 58245 and 58255 is 5.

Also check out the Least Common Multiple of 58245 and 58255