What is the Greatest Common Factor of 58845 and 58855?

Greatest common factor (GCF) of 58845 and 58855 is 5.

GCF(58845,58855) = 5

We will now calculate the prime factors of 58845 and 58855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58845 and 58855.

How to find the GCF of 58845 and 58855?

We will first find the prime factorization of 58845 and 58855. After we will calculate the factors of 58845 and 58855 and find the biggest common factor number .

Step-1: Prime Factorization of 58845

Prime factors of 58845 are 3, 5, 3923. Prime factorization of 58845 in exponential form is:

58845 = 3¹ × 5¹ × 3923¹

Step-2: Prime Factorization of 58855

Prime factors of 58855 are 5, 79, 149. Prime factorization of 58855 in exponential form is:

58855 = 5¹ × 79¹ × 149¹

Step-3: Factors of 58845

List of positive integer factors of 58845 that divides 58845 without a remainder.

1, 3, 5, 15, 3923, 11769, 19615

Step-4: Factors of 58855

List of positive integer factors of 58855 that divides 58845 without a remainder.

1, 5, 79, 149, 395, 745, 11771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58845 and 58855. The biggest common factor number is the GCF number.
So the greatest common factor 58845 and 58855 is 5.

Also check out the Least Common Multiple of 58845 and 58855