What is the Greatest Common Factor of 38064 and 38073?

Greatest common factor (GCF) of 38064 and 38073 is 3.

GCF(38064,38073) = 3

We will now calculate the prime factors of 38064 and 38073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38064 and 38073.

How to find the GCF of 38064 and 38073?

We will first find the prime factorization of 38064 and 38073. After we will calculate the factors of 38064 and 38073 and find the biggest common factor number .

Step-1: Prime Factorization of 38064

Prime factors of 38064 are 2, 3, 13, 61. Prime factorization of 38064 in exponential form is:

38064 = 2⁴ × 3¹ × 13¹ × 61¹

Step-2: Prime Factorization of 38073

Prime factors of 38073 are 3, 7, 37. Prime factorization of 38073 in exponential form is:

38073 = 3¹ × 7³ × 37¹

Step-3: Factors of 38064

List of positive integer factors of 38064 that divides 38064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 61, 78, 104, 122, 156, 183, 208, 244, 312, 366, 488, 624, 732, 793, 976, 1464, 1586, 2379, 2928, 3172, 4758, 6344, 9516, 12688, 19032

Step-4: Factors of 38073

List of positive integer factors of 38073 that divides 38064 without a remainder.

1, 3, 7, 21, 37, 49, 111, 147, 259, 343, 777, 1029, 1813, 5439, 12691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38064 and 38073. The biggest common factor number is the GCF number.
So the greatest common factor 38064 and 38073 is 3.

Also check out the Least Common Multiple of 38064 and 38073