What is the Greatest Common Factor of 58074 and 58085?

Greatest common factor (GCF) of 58074 and 58085 is 1.

GCF(58074,58085) = 1

We will now calculate the prime factors of 58074 and 58085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58074 and 58085.

How to find the GCF of 58074 and 58085?

We will first find the prime factorization of 58074 and 58085. After we will calculate the factors of 58074 and 58085 and find the biggest common factor number .

Step-1: Prime Factorization of 58074

Prime factors of 58074 are 2, 3, 9679. Prime factorization of 58074 in exponential form is:

58074 = 2¹ × 3¹ × 9679¹

Step-2: Prime Factorization of 58085

Prime factors of 58085 are 5, 11617. Prime factorization of 58085 in exponential form is:

58085 = 5¹ × 11617¹

Step-3: Factors of 58074

List of positive integer factors of 58074 that divides 58074 without a remainder.

1, 2, 3, 6, 9679, 19358, 29037

Step-4: Factors of 58085

List of positive integer factors of 58085 that divides 58074 without a remainder.

1, 5, 11617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58074 and 58085. The biggest common factor number is the GCF number.
So the greatest common factor 58074 and 58085 is 1.

Also check out the Least Common Multiple of 58074 and 58085