What is the Greatest Common Factor of 44707 and 44720?

Greatest common factor (GCF) of 44707 and 44720 is 13.

GCF(44707,44720) = 13

We will now calculate the prime factors of 44707 and 44720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44707 and 44720.

How to find the GCF of 44707 and 44720?

We will first find the prime factorization of 44707 and 44720. After we will calculate the factors of 44707 and 44720 and find the biggest common factor number .

Step-1: Prime Factorization of 44707

Prime factors of 44707 are 13, 19, 181. Prime factorization of 44707 in exponential form is:

44707 = 13¹ × 19¹ × 181¹

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 44707

List of positive integer factors of 44707 that divides 44707 without a remainder.

1, 13, 19, 181, 247, 2353, 3439

Step-4: Factors of 44720

List of positive integer factors of 44720 that divides 44707 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 44707 and 44720. The biggest common factor number is the GCF number.
So the greatest common factor 44707 and 44720 is 13.

Also check out the Least Common Multiple of 44707 and 44720