What is the Greatest Common Factor of 58805 and 58816?

Greatest common factor (GCF) of 58805 and 58816 is 1.

GCF(58805,58816) = 1

We will now calculate the prime factors of 58805 and 58816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58805 and 58816.

How to find the GCF of 58805 and 58816?

We will first find the prime factorization of 58805 and 58816. After we will calculate the factors of 58805 and 58816 and find the biggest common factor number .

Step-1: Prime Factorization of 58805

Prime factors of 58805 are 5, 19, 619. Prime factorization of 58805 in exponential form is:

58805 = 5¹ × 19¹ × 619¹

Step-2: Prime Factorization of 58816

Prime factors of 58816 are 2, 919. Prime factorization of 58816 in exponential form is:

58816 = 2⁶ × 919¹

Step-3: Factors of 58805

List of positive integer factors of 58805 that divides 58805 without a remainder.

1, 5, 19, 95, 619, 3095, 11761

Step-4: Factors of 58816

List of positive integer factors of 58816 that divides 58805 without a remainder.

1, 2, 4, 8, 16, 32, 64, 919, 1838, 3676, 7352, 14704, 29408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58805 and 58816. The biggest common factor number is the GCF number.
So the greatest common factor 58805 and 58816 is 1.

Also check out the Least Common Multiple of 58805 and 58816