What is the Greatest Common Factor of 44720 and 44728?

Greatest common factor (GCF) of 44720 and 44728 is 8.

GCF(44720,44728) = 8

We will now calculate the prime factors of 44720 and 44728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44720 and 44728.

How to find the GCF of 44720 and 44728?

We will first find the prime factorization of 44720 and 44728. After we will calculate the factors of 44720 and 44728 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 44728

Prime factors of 44728 are 2, 5591. Prime factorization of 44728 in exponential form is:

44728 = 2³ × 5591¹

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 44728

List of positive integer factors of 44728 that divides 44720 without a remainder.

1, 2, 4, 8, 5591, 11182, 22364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44720 and 44728. The biggest common factor number is the GCF number.
So the greatest common factor 44720 and 44728 is 8.

Also check out the Least Common Multiple of 44720 and 44728