What is the Greatest Common Factor of 61716 and 61728?

Greatest common factor (GCF) of 61716 and 61728 is 12.

GCF(61716,61728) = 12

We will now calculate the prime factors of 61716 and 61728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61716 and 61728.

How to find the GCF of 61716 and 61728?

We will first find the prime factorization of 61716 and 61728. After we will calculate the factors of 61716 and 61728 and find the biggest common factor number .

Step-1: Prime Factorization of 61716

Prime factors of 61716 are 2, 3, 37, 139. Prime factorization of 61716 in exponential form is:

61716 = 2² × 3¹ × 37¹ × 139¹

Step-2: 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-3: Factors of 61716

List of positive integer factors of 61716 that divides 61716 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 139, 148, 222, 278, 417, 444, 556, 834, 1668, 5143, 10286, 15429, 20572, 30858

Step-4: Factors of 61728

List of positive integer factors of 61728 that divides 61716 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61716 and 61728. The biggest common factor number is the GCF number.
So the greatest common factor 61716 and 61728 is 12.

Also check out the Least Common Multiple of 61716 and 61728