What is the Greatest Common Factor of 72064 and 72073?

Greatest common factor (GCF) of 72064 and 72073 is 1.

GCF(72064,72073) = 1

We will now calculate the prime factors of 72064 and 72073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72064 and 72073.

How to find the GCF of 72064 and 72073?

We will first find the prime factorization of 72064 and 72073. After we will calculate the factors of 72064 and 72073 and find the biggest common factor number .

Step-1: Prime Factorization of 72064

Prime factors of 72064 are 2, 563. Prime factorization of 72064 in exponential form is:

72064 = 2⁷ × 563¹

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 72064

List of positive integer factors of 72064 that divides 72064 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 563, 1126, 2252, 4504, 9008, 18016, 36032

Step-4: Factors of 72073

List of positive integer factors of 72073 that divides 72064 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72064 and 72073. The biggest common factor number is the GCF number.
So the greatest common factor 72064 and 72073 is 1.

Also check out the Least Common Multiple of 72064 and 72073