What is the Greatest Common Factor of 60096 and 60111?

Greatest common factor (GCF) of 60096 and 60111 is 3.

GCF(60096,60111) = 3

We will now calculate the prime factors of 60096 and 60111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60096 and 60111.

How to find the GCF of 60096 and 60111?

We will first find the prime factorization of 60096 and 60111. After we will calculate the factors of 60096 and 60111 and find the biggest common factor number .

Step-1: Prime Factorization of 60096

Prime factors of 60096 are 2, 3, 313. Prime factorization of 60096 in exponential form is:

60096 = 2⁶ × 3¹ × 313¹

Step-2: Prime Factorization of 60111

Prime factors of 60111 are 3, 6679. Prime factorization of 60111 in exponential form is:

60111 = 3² × 6679¹

Step-3: Factors of 60096

List of positive integer factors of 60096 that divides 60096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024, 20032, 30048

Step-4: Factors of 60111

List of positive integer factors of 60111 that divides 60096 without a remainder.

1, 3, 9, 6679, 20037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60096 and 60111. The biggest common factor number is the GCF number.
So the greatest common factor 60096 and 60111 is 3.

Also check out the Least Common Multiple of 60096 and 60111