What is the Greatest Common Factor of 67044 and 67056?

Greatest common factor (GCF) of 67044 and 67056 is 12.

GCF(67044,67056) = 12

We will now calculate the prime factors of 67044 and 67056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67044 and 67056.

How to find the GCF of 67044 and 67056?

We will first find the prime factorization of 67044 and 67056. After we will calculate the factors of 67044 and 67056 and find the biggest common factor number .

Step-1: Prime Factorization of 67044

Prime factors of 67044 are 2, 3, 37, 151. Prime factorization of 67044 in exponential form is:

67044 = 2² × 3¹ × 37¹ × 151¹

Step-2: Prime Factorization of 67056

Prime factors of 67056 are 2, 3, 11, 127. Prime factorization of 67056 in exponential form is:

67056 = 2⁴ × 3¹ × 11¹ × 127¹

Step-3: Factors of 67044

List of positive integer factors of 67044 that divides 67044 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 151, 222, 302, 444, 453, 604, 906, 1812, 5587, 11174, 16761, 22348, 33522

Step-4: Factors of 67056

List of positive integer factors of 67056 that divides 67044 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 127, 132, 176, 254, 264, 381, 508, 528, 762, 1016, 1397, 1524, 2032, 2794, 3048, 4191, 5588, 6096, 8382, 11176, 16764, 22352, 33528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67044 and 67056. The biggest common factor number is the GCF number.
So the greatest common factor 67044 and 67056 is 12.

Also check out the Least Common Multiple of 67044 and 67056