What is the Greatest Common Factor of 60081 and 60085?

Greatest common factor (GCF) of 60081 and 60085 is 1.

GCF(60081,60085) = 1

We will now calculate the prime factors of 60081 and 60085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60081 and 60085.

How to find the GCF of 60081 and 60085?

We will first find the prime factorization of 60081 and 60085. After we will calculate the factors of 60081 and 60085 and find the biggest common factor number .

Step-1: Prime Factorization of 60081

Prime factors of 60081 are 3, 7, 2861. Prime factorization of 60081 in exponential form is:

60081 = 3¹ × 7¹ × 2861¹

Step-2: Prime Factorization of 60085

Prime factors of 60085 are 5, 61, 197. Prime factorization of 60085 in exponential form is:

60085 = 5¹ × 61¹ × 197¹

Step-3: Factors of 60081

List of positive integer factors of 60081 that divides 60081 without a remainder.

1, 3, 7, 21, 2861, 8583, 20027

Step-4: Factors of 60085

List of positive integer factors of 60085 that divides 60081 without a remainder.

1, 5, 61, 197, 305, 985, 12017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60081 and 60085. The biggest common factor number is the GCF number.
So the greatest common factor 60081 and 60085 is 1.

Also check out the Least Common Multiple of 60081 and 60085