What is the Greatest Common Factor of 44064 and 44071?

Greatest common factor (GCF) of 44064 and 44071 is 1.

GCF(44064,44071) = 1

We will now calculate the prime factors of 44064 and 44071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44064 and 44071.

How to find the GCF of 44064 and 44071?

We will first find the prime factorization of 44064 and 44071. After we will calculate the factors of 44064 and 44071 and find the biggest common factor number .

Step-1: Prime Factorization of 44064

Prime factors of 44064 are 2, 3, 17. Prime factorization of 44064 in exponential form is:

44064 = 2⁵ × 3⁴ × 17¹

Step-2: Prime Factorization of 44071

Prime factors of 44071 are 44071. Prime factorization of 44071 in exponential form is:

44071 = 44071¹

Step-3: Factors of 44064

List of positive integer factors of 44064 that divides 44064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 68, 72, 81, 96, 102, 108, 136, 144, 153, 162, 204, 216, 272, 288, 306, 324, 408, 432, 459, 544, 612, 648, 816, 864, 918, 1224, 1296, 1377, 1632, 1836, 2448, 2592, 2754, 3672, 4896, 5508, 7344, 11016, 14688, 22032

Step-4: Factors of 44071

List of positive integer factors of 44071 that divides 44064 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44064 and 44071. The biggest common factor number is the GCF number.
So the greatest common factor 44064 and 44071 is 1.

Also check out the Least Common Multiple of 44064 and 44071