What is the Greatest Common Factor of 83456 and 83472?

Greatest common factor (GCF) of 83456 and 83472 is 16.

GCF(83456,83472) = 16

We will now calculate the prime factors of 83456 and 83472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83456 and 83472.

How to find the GCF of 83456 and 83472?

We will first find the prime factorization of 83456 and 83472. After we will calculate the factors of 83456 and 83472 and find the biggest common factor number .

Step-1: Prime Factorization of 83456

Prime factors of 83456 are 2, 163. Prime factorization of 83456 in exponential form is:

83456 = 2⁹ × 163¹

Step-2: Prime Factorization of 83472

Prime factors of 83472 are 2, 3, 37, 47. Prime factorization of 83472 in exponential form is:

83472 = 2⁴ × 3¹ × 37¹ × 47¹

Step-3: Factors of 83456

List of positive integer factors of 83456 that divides 83456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 163, 256, 326, 512, 652, 1304, 2608, 5216, 10432, 20864, 41728

Step-4: Factors of 83472

List of positive integer factors of 83472 that divides 83456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 47, 48, 74, 94, 111, 141, 148, 188, 222, 282, 296, 376, 444, 564, 592, 752, 888, 1128, 1739, 1776, 2256, 3478, 5217, 6956, 10434, 13912, 20868, 27824, 41736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83456 and 83472. The biggest common factor number is the GCF number.
So the greatest common factor 83456 and 83472 is 16.

Also check out the Least Common Multiple of 83456 and 83472