What is the Greatest Common Factor of 44720 and 44735?

Greatest common factor (GCF) of 44720 and 44735 is 5.

GCF(44720,44735) = 5

We will now calculate the prime factors of 44720 and 44735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44720 and 44735.

How to find the GCF of 44720 and 44735?

We will first find the prime factorization of 44720 and 44735. After we will calculate the factors of 44720 and 44735 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 44735

Prime factors of 44735 are 5, 23, 389. Prime factorization of 44735 in exponential form is:

44735 = 5¹ × 23¹ × 389¹

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 44735

List of positive integer factors of 44735 that divides 44720 without a remainder.

1, 5, 23, 115, 389, 1945, 8947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44720 and 44735. The biggest common factor number is the GCF number.
So the greatest common factor 44720 and 44735 is 5.

Also check out the Least Common Multiple of 44720 and 44735