What is the Greatest Common Factor of 43730 and 43744?

Greatest common factor (GCF) of 43730 and 43744 is 2.

GCF(43730,43744) = 2

We will now calculate the prime factors of 43730 and 43744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43730 and 43744.

How to find the GCF of 43730 and 43744?

We will first find the prime factorization of 43730 and 43744. After we will calculate the factors of 43730 and 43744 and find the biggest common factor number .

Step-1: Prime Factorization of 43730

Prime factors of 43730 are 2, 5, 4373. Prime factorization of 43730 in exponential form is:

43730 = 2¹ × 5¹ × 4373¹

Step-2: Prime Factorization of 43744

Prime factors of 43744 are 2, 1367. Prime factorization of 43744 in exponential form is:

43744 = 2⁵ × 1367¹

Step-3: Factors of 43730

List of positive integer factors of 43730 that divides 43730 without a remainder.

1, 2, 5, 10, 4373, 8746, 21865

Step-4: Factors of 43744

List of positive integer factors of 43744 that divides 43730 without a remainder.

1, 2, 4, 8, 16, 32, 1367, 2734, 5468, 10936, 21872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43730 and 43744. The biggest common factor number is the GCF number.
So the greatest common factor 43730 and 43744 is 2.

Also check out the Least Common Multiple of 43730 and 43744