What is the Greatest Common Factor of 44064 and 44080?

Greatest common factor (GCF) of 44064 and 44080 is 16.

GCF(44064,44080) = 16

We will now calculate the prime factors of 44064 and 44080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44064 and 44080.

How to find the GCF of 44064 and 44080?

We will first find the prime factorization of 44064 and 44080. After we will calculate the factors of 44064 and 44080 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 44080

Prime factors of 44080 are 2, 5, 19, 29. Prime factorization of 44080 in exponential form is:

44080 = 2⁴ × 5¹ × 19¹ × 29¹

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 44080

List of positive integer factors of 44080 that divides 44064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 29, 38, 40, 58, 76, 80, 95, 116, 145, 152, 190, 232, 290, 304, 380, 464, 551, 580, 760, 1102, 1160, 1520, 2204, 2320, 2755, 4408, 5510, 8816, 11020, 22040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44064 and 44080. The biggest common factor number is the GCF number.
So the greatest common factor 44064 and 44080 is 16.

Also check out the Least Common Multiple of 44064 and 44080