What is the Greatest Common Factor of 44713 and 44720?

Greatest common factor (GCF) of 44713 and 44720 is 1.

GCF(44713,44720) = 1

We will now calculate the prime factors of 44713 and 44720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44713 and 44720.

How to find the GCF of 44713 and 44720?

We will first find the prime factorization of 44713 and 44720. After we will calculate the factors of 44713 and 44720 and find the biggest common factor number .

Step-1: Prime Factorization of 44713

Prime factors of 44713 are 61, 733. Prime factorization of 44713 in exponential form is:

44713 = 61¹ × 733¹

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 44713

List of positive integer factors of 44713 that divides 44713 without a remainder.

1, 61, 733

Step-4: Factors of 44720

List of positive integer factors of 44720 that divides 44713 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 44713 and 44720. The biggest common factor number is the GCF number.
So the greatest common factor 44713 and 44720 is 1.

Also check out the Least Common Multiple of 44713 and 44720