What is the Greatest Common Factor of 44704 and 44720?

Greatest common factor (GCF) of 44704 and 44720 is 16.

GCF(44704,44720) = 16

We will now calculate the prime factors of 44704 and 44720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44704 and 44720.

How to find the GCF of 44704 and 44720?

We will first find the prime factorization of 44704 and 44720. After we will calculate the factors of 44704 and 44720 and find the biggest common factor number .

Step-1: Prime Factorization of 44704

Prime factors of 44704 are 2, 11, 127. Prime factorization of 44704 in exponential form is:

44704 = 2⁵ × 11¹ × 127¹

Step-2: Prime Factorization of 44720

Prime factors of 44720 are 2, 5, 13, 43. Prime factorization of 44720 in exponential form is:

44720 = 2⁴ × 5¹ × 13¹ × 43¹

Step-3: Factors of 44704

List of positive integer factors of 44704 that divides 44704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 127, 176, 254, 352, 508, 1016, 1397, 2032, 2794, 4064, 5588, 11176, 22352

Step-4: Factors of 44720

List of positive integer factors of 44720 that divides 44704 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 43, 52, 65, 80, 86, 104, 130, 172, 208, 215, 260, 344, 430, 520, 559, 688, 860, 1040, 1118, 1720, 2236, 2795, 3440, 4472, 5590, 8944, 11180, 22360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44704 and 44720. The biggest common factor number is the GCF number.
So the greatest common factor 44704 and 44720 is 16.

Also check out the Least Common Multiple of 44704 and 44720