What is the Greatest Common Factor of 60054 and 60072?

Greatest common factor (GCF) of 60054 and 60072 is 6.

GCF(60054,60072) = 6

We will now calculate the prime factors of 60054 and 60072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60054 and 60072.

How to find the GCF of 60054 and 60072?

We will first find the prime factorization of 60054 and 60072. After we will calculate the factors of 60054 and 60072 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 60072

Prime factors of 60072 are 2, 3, 2503. Prime factorization of 60072 in exponential form is:

60072 = 2³ × 3¹ × 2503¹

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 60072

List of positive integer factors of 60072 that divides 60054 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60054 and 60072. The biggest common factor number is the GCF number.
So the greatest common factor 60054 and 60072 is 6.

Also check out the Least Common Multiple of 60054 and 60072