What is the Greatest Common Factor of 67728 and 67741?

Greatest common factor (GCF) of 67728 and 67741 is 1.

GCF(67728,67741) = 1

We will now calculate the prime factors of 67728 and 67741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67728 and 67741.

How to find the GCF of 67728 and 67741?

We will first find the prime factorization of 67728 and 67741. After we will calculate the factors of 67728 and 67741 and find the biggest common factor number .

Step-1: Prime Factorization of 67728

Prime factors of 67728 are 2, 3, 17, 83. Prime factorization of 67728 in exponential form is:

67728 = 2⁴ × 3¹ × 17¹ × 83¹

Step-2: Prime Factorization of 67741

Prime factors of 67741 are 67741. Prime factorization of 67741 in exponential form is:

67741 = 67741¹

Step-3: Factors of 67728

List of positive integer factors of 67728 that divides 67728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 83, 102, 136, 166, 204, 249, 272, 332, 408, 498, 664, 816, 996, 1328, 1411, 1992, 2822, 3984, 4233, 5644, 8466, 11288, 16932, 22576, 33864

Step-4: Factors of 67741

List of positive integer factors of 67741 that divides 67728 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67728 and 67741. The biggest common factor number is the GCF number.
So the greatest common factor 67728 and 67741 is 1.

Also check out the Least Common Multiple of 67728 and 67741