What is the Greatest Common Factor of 73056 and 73072?

Greatest common factor (GCF) of 73056 and 73072 is 16.

GCF(73056,73072) = 16

We will now calculate the prime factors of 73056 and 73072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73056 and 73072.

How to find the GCF of 73056 and 73072?

We will first find the prime factorization of 73056 and 73072. After we will calculate the factors of 73056 and 73072 and find the biggest common factor number .

Step-1: Prime Factorization of 73056

Prime factors of 73056 are 2, 3, 761. Prime factorization of 73056 in exponential form is:

73056 = 2⁵ × 3¹ × 761¹

Step-2: Prime Factorization of 73072

Prime factors of 73072 are 2, 4567. Prime factorization of 73072 in exponential form is:

73072 = 2⁴ × 4567¹

Step-3: Factors of 73056

List of positive integer factors of 73056 that divides 73056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264, 24352, 36528

Step-4: Factors of 73072

List of positive integer factors of 73072 that divides 73056 without a remainder.

1, 2, 4, 8, 16, 4567, 9134, 18268, 36536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73056 and 73072. The biggest common factor number is the GCF number.
So the greatest common factor 73056 and 73072 is 16.

Also check out the Least Common Multiple of 73056 and 73072