What is the Greatest Common Factor of 60054 and 60065?

Greatest common factor (GCF) of 60054 and 60065 is 1.

GCF(60054,60065) = 1

We will now calculate the prime factors of 60054 and 60065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60054 and 60065.

How to find the GCF of 60054 and 60065?

We will first find the prime factorization of 60054 and 60065. After we will calculate the factors of 60054 and 60065 and find the biggest common factor number .

Step-1: Prime Factorization of 60054

Prime factors of 60054 are 2, 3, 10009. Prime factorization of 60054 in exponential form is:

60054 = 2¹ × 3¹ × 10009¹

Step-2: Prime Factorization of 60065

Prime factors of 60065 are 5, 41, 293. Prime factorization of 60065 in exponential form is:

60065 = 5¹ × 41¹ × 293¹

Step-3: Factors of 60054

List of positive integer factors of 60054 that divides 60054 without a remainder.

1, 2, 3, 6, 10009, 20018, 30027

Step-4: Factors of 60065

List of positive integer factors of 60065 that divides 60054 without a remainder.

1, 5, 41, 205, 293, 1465, 12013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60054 and 60065. The biggest common factor number is the GCF number.
So the greatest common factor 60054 and 60065 is 1.

Also check out the Least Common Multiple of 60054 and 60065