What is the Greatest Common Factor of 44544 and 44560?

Greatest common factor (GCF) of 44544 and 44560 is 16.

GCF(44544,44560) = 16

We will now calculate the prime factors of 44544 and 44560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44544 and 44560.

How to find the GCF of 44544 and 44560?

We will first find the prime factorization of 44544 and 44560. After we will calculate the factors of 44544 and 44560 and find the biggest common factor number .

Step-1: Prime Factorization of 44544

Prime factors of 44544 are 2, 3, 29. Prime factorization of 44544 in exponential form is:

44544 = 2⁹ × 3¹ × 29¹

Step-2: Prime Factorization of 44560

Prime factors of 44560 are 2, 5, 557. Prime factorization of 44560 in exponential form is:

44560 = 2⁴ × 5¹ × 557¹

Step-3: Factors of 44544

List of positive integer factors of 44544 that divides 44544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 256, 348, 384, 464, 512, 696, 768, 928, 1392, 1536, 1856, 2784, 3712, 5568, 7424, 11136, 14848, 22272

Step-4: Factors of 44560

List of positive integer factors of 44560 that divides 44544 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 557, 1114, 2228, 2785, 4456, 5570, 8912, 11140, 22280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44544 and 44560. The biggest common factor number is the GCF number.
So the greatest common factor 44544 and 44560 is 16.

Also check out the Least Common Multiple of 44544 and 44560