What is the Greatest Common Factor of 72054 and 72073?

Greatest common factor (GCF) of 72054 and 72073 is 1.

GCF(72054,72073) = 1

We will now calculate the prime factors of 72054 and 72073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72054 and 72073.

How to find the GCF of 72054 and 72073?

We will first find the prime factorization of 72054 and 72073. After we will calculate the factors of 72054 and 72073 and find the biggest common factor number .

Step-1: Prime Factorization of 72054

Prime factors of 72054 are 2, 3, 4003. Prime factorization of 72054 in exponential form is:

72054 = 2¹ × 3² × 4003¹

Step-2: Prime Factorization of 72073

Prime factors of 72073 are 72073. Prime factorization of 72073 in exponential form is:

72073 = 72073¹

Step-3: Factors of 72054

List of positive integer factors of 72054 that divides 72054 without a remainder.

1, 2, 3, 6, 9, 18, 4003, 8006, 12009, 24018, 36027

Step-4: Factors of 72073

List of positive integer factors of 72073 that divides 72054 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72054 and 72073. The biggest common factor number is the GCF number.
So the greatest common factor 72054 and 72073 is 1.

Also check out the Least Common Multiple of 72054 and 72073