What is the Greatest Common Factor of 43728 and 43741?

Greatest common factor (GCF) of 43728 and 43741 is 1.

GCF(43728,43741) = 1

We will now calculate the prime factors of 43728 and 43741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43728 and 43741.

How to find the GCF of 43728 and 43741?

We will first find the prime factorization of 43728 and 43741. After we will calculate the factors of 43728 and 43741 and find the biggest common factor number .

Step-1: Prime Factorization of 43728

Prime factors of 43728 are 2, 3, 911. Prime factorization of 43728 in exponential form is:

43728 = 2⁴ × 3¹ × 911¹

Step-2: Prime Factorization of 43741

Prime factors of 43741 are 17, 31, 83. Prime factorization of 43741 in exponential form is:

43741 = 17¹ × 31¹ × 83¹

Step-3: Factors of 43728

List of positive integer factors of 43728 that divides 43728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864

Step-4: Factors of 43741

List of positive integer factors of 43741 that divides 43728 without a remainder.

1, 17, 31, 83, 527, 1411, 2573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43728 and 43741. The biggest common factor number is the GCF number.
So the greatest common factor 43728 and 43741 is 1.

Also check out the Least Common Multiple of 43728 and 43741