What is the Greatest Common Factor of 44720 and 44736?

Greatest common factor (GCF) of 44720 and 44736 is 16.

GCF(44720,44736) = 16

We will now calculate the prime factors of 44720 and 44736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44720 and 44736.

How to find the GCF of 44720 and 44736?

We will first find the prime factorization of 44720 and 44736. After we will calculate the factors of 44720 and 44736 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44736

Prime factors of 44736 are 2, 3, 233. Prime factorization of 44736 in exponential form is:

44736 = 2⁶ × 3¹ × 233¹

Step-3: Factors of 44720

List of positive integer factors of 44720 that divides 44720 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

Step-4: Factors of 44736

List of positive integer factors of 44736 that divides 44720 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44720 and 44736. The biggest common factor number is the GCF number.
So the greatest common factor 44720 and 44736 is 16.

Also check out the Least Common Multiple of 44720 and 44736