What is the Greatest Common Factor of 58785 and 58795?

Greatest common factor (GCF) of 58785 and 58795 is 5.

GCF(58785,58795) = 5

We will now calculate the prime factors of 58785 and 58795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58785 and 58795.

How to find the GCF of 58785 and 58795?

We will first find the prime factorization of 58785 and 58795. After we will calculate the factors of 58785 and 58795 and find the biggest common factor number .

Step-1: Prime Factorization of 58785

Prime factors of 58785 are 3, 5, 3919. Prime factorization of 58785 in exponential form is:

58785 = 3¹ × 5¹ × 3919¹

Step-2: Prime Factorization of 58795

Prime factors of 58795 are 5, 11, 1069. Prime factorization of 58795 in exponential form is:

58795 = 5¹ × 11¹ × 1069¹

Step-3: Factors of 58785

List of positive integer factors of 58785 that divides 58785 without a remainder.

1, 3, 5, 15, 3919, 11757, 19595

Step-4: Factors of 58795

List of positive integer factors of 58795 that divides 58785 without a remainder.

1, 5, 11, 55, 1069, 5345, 11759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58785 and 58795. The biggest common factor number is the GCF number.
So the greatest common factor 58785 and 58795 is 5.

Also check out the Least Common Multiple of 58785 and 58795