What is the Greatest Common Factor of 61728 and 61743?

Greatest common factor (GCF) of 61728 and 61743 is 3.

GCF(61728,61743) = 3

We will now calculate the prime factors of 61728 and 61743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61728 and 61743.

How to find the GCF of 61728 and 61743?

We will first find the prime factorization of 61728 and 61743. After we will calculate the factors of 61728 and 61743 and find the biggest common factor number .

Step-1: Prime Factorization of 61728

Prime factors of 61728 are 2, 3, 643. Prime factorization of 61728 in exponential form is:

61728 = 2⁵ × 3¹ × 643¹

Step-2: Prime Factorization of 61743

Prime factors of 61743 are 3, 11, 1871. Prime factorization of 61743 in exponential form is:

61743 = 3¹ × 11¹ × 1871¹

Step-3: Factors of 61728

List of positive integer factors of 61728 that divides 61728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 643, 1286, 1929, 2572, 3858, 5144, 7716, 10288, 15432, 20576, 30864

Step-4: Factors of 61743

List of positive integer factors of 61743 that divides 61728 without a remainder.

1, 3, 11, 33, 1871, 5613, 20581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61728 and 61743. The biggest common factor number is the GCF number.
So the greatest common factor 61728 and 61743 is 3.

Also check out the Least Common Multiple of 61728 and 61743