What is the Greatest Common Factor of 44720 and 44734?

Greatest common factor (GCF) of 44720 and 44734 is 2.

GCF(44720,44734) = 2

We will now calculate the prime factors of 44720 and 44734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44720 and 44734.

How to find the GCF of 44720 and 44734?

We will first find the prime factorization of 44720 and 44734. After we will calculate the factors of 44720 and 44734 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 44734

Prime factors of 44734 are 2, 22367. Prime factorization of 44734 in exponential form is:

44734 = 2¹ × 22367¹

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 44734

List of positive integer factors of 44734 that divides 44720 without a remainder.

1, 2, 22367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44720 and 44734. The biggest common factor number is the GCF number.
So the greatest common factor 44720 and 44734 is 2.

Also check out the Least Common Multiple of 44720 and 44734