What is the Greatest Common Factor of 72064 and 72075?

Greatest common factor (GCF) of 72064 and 72075 is 1.

GCF(72064,72075) = 1

We will now calculate the prime factors of 72064 and 72075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72064 and 72075.

How to find the GCF of 72064 and 72075?

We will first find the prime factorization of 72064 and 72075. After we will calculate the factors of 72064 and 72075 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 72075

Prime factors of 72075 are 3, 5, 31. Prime factorization of 72075 in exponential form is:

72075 = 3¹ × 5² × 31²

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 72075

List of positive integer factors of 72075 that divides 72064 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 961, 2325, 2883, 4805, 14415, 24025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72064 and 72075. The biggest common factor number is the GCF number.
So the greatest common factor 72064 and 72075 is 1.

Also check out the Least Common Multiple of 72064 and 72075