What is the Greatest Common Factor of 60045 and 60058?

Greatest common factor (GCF) of 60045 and 60058 is 1.

GCF(60045,60058) = 1

We will now calculate the prime factors of 60045 and 60058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60045 and 60058.

How to find the GCF of 60045 and 60058?

We will first find the prime factorization of 60045 and 60058. After we will calculate the factors of 60045 and 60058 and find the biggest common factor number .

Step-1: Prime Factorization of 60045

Prime factors of 60045 are 3, 5, 4003. Prime factorization of 60045 in exponential form is:

60045 = 3¹ × 5¹ × 4003¹

Step-2: Prime Factorization of 60058

Prime factors of 60058 are 2, 30029. Prime factorization of 60058 in exponential form is:

60058 = 2¹ × 30029¹

Step-3: Factors of 60045

List of positive integer factors of 60045 that divides 60045 without a remainder.

1, 3, 5, 15, 4003, 12009, 20015

Step-4: Factors of 60058

List of positive integer factors of 60058 that divides 60045 without a remainder.

1, 2, 30029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60045 and 60058. The biggest common factor number is the GCF number.
So the greatest common factor 60045 and 60058 is 1.

Also check out the Least Common Multiple of 60045 and 60058