What is the Greatest Common Factor of 73044 and 73056?

Greatest common factor (GCF) of 73044 and 73056 is 12.

GCF(73044,73056) = 12

We will now calculate the prime factors of 73044 and 73056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73044 and 73056.

How to find the GCF of 73044 and 73056?

We will first find the prime factorization of 73044 and 73056. After we will calculate the factors of 73044 and 73056 and find the biggest common factor number .

Step-1: Prime Factorization of 73044

Prime factors of 73044 are 2, 3, 2029. Prime factorization of 73044 in exponential form is:

73044 = 2² × 3² × 2029¹

Step-2: 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-3: Factors of 73044

List of positive integer factors of 73044 that divides 73044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2029, 4058, 6087, 8116, 12174, 18261, 24348, 36522

Step-4: Factors of 73056

List of positive integer factors of 73056 that divides 73044 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73044 and 73056. The biggest common factor number is the GCF number.
So the greatest common factor 73044 and 73056 is 12.

Also check out the Least Common Multiple of 73044 and 73056