What is the Greatest Common Factor of 71712 and 71728?

Greatest common factor (GCF) of 71712 and 71728 is 16.

GCF(71712,71728) = 16

We will now calculate the prime factors of 71712 and 71728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71712 and 71728.

How to find the GCF of 71712 and 71728?

We will first find the prime factorization of 71712 and 71728. After we will calculate the factors of 71712 and 71728 and find the biggest common factor number .

Step-1: Prime Factorization of 71712

Prime factors of 71712 are 2, 3, 83. Prime factorization of 71712 in exponential form is:

71712 = 2⁵ × 3³ × 83¹

Step-2: Prime Factorization of 71728

Prime factors of 71728 are 2, 4483. Prime factorization of 71728 in exponential form is:

71728 = 2⁴ × 4483¹

Step-3: Factors of 71712

List of positive integer factors of 71712 that divides 71712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 83, 96, 108, 144, 166, 216, 249, 288, 332, 432, 498, 664, 747, 864, 996, 1328, 1494, 1992, 2241, 2656, 2988, 3984, 4482, 5976, 7968, 8964, 11952, 17928, 23904, 35856

Step-4: Factors of 71728

List of positive integer factors of 71728 that divides 71712 without a remainder.

1, 2, 4, 8, 16, 4483, 8966, 17932, 35864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71712 and 71728. The biggest common factor number is the GCF number.
So the greatest common factor 71712 and 71728 is 16.

Also check out the Least Common Multiple of 71712 and 71728