What is the Greatest Common Factor of 60082 and 60093?

Greatest common factor (GCF) of 60082 and 60093 is 11.

GCF(60082,60093) = 11

We will now calculate the prime factors of 60082 and 60093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60082 and 60093.

How to find the GCF of 60082 and 60093?

We will first find the prime factorization of 60082 and 60093. After we will calculate the factors of 60082 and 60093 and find the biggest common factor number .

Step-1: Prime Factorization of 60082

Prime factors of 60082 are 2, 11, 2731. Prime factorization of 60082 in exponential form is:

60082 = 2¹ × 11¹ × 2731¹

Step-2: Prime Factorization of 60093

Prime factors of 60093 are 3, 11, 607. Prime factorization of 60093 in exponential form is:

60093 = 3² × 11¹ × 607¹

Step-3: Factors of 60082

List of positive integer factors of 60082 that divides 60082 without a remainder.

1, 2, 11, 22, 2731, 5462, 30041

Step-4: Factors of 60093

List of positive integer factors of 60093 that divides 60082 without a remainder.

1, 3, 9, 11, 33, 99, 607, 1821, 5463, 6677, 20031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60082 and 60093. The biggest common factor number is the GCF number.
So the greatest common factor 60082 and 60093 is 11.

Also check out the Least Common Multiple of 60082 and 60093