What is the Greatest Common Factor of 83472 and 83488?

Greatest common factor (GCF) of 83472 and 83488 is 16.

GCF(83472,83488) = 16

We will now calculate the prime factors of 83472 and 83488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83472 and 83488.

How to find the GCF of 83472 and 83488?

We will first find the prime factorization of 83472 and 83488. After we will calculate the factors of 83472 and 83488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83488

Prime factors of 83488 are 2, 2609. Prime factorization of 83488 in exponential form is:

83488 = 2⁵ × 2609¹

Step-3: Factors of 83472

List of positive integer factors of 83472 that divides 83472 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

Step-4: Factors of 83488

List of positive integer factors of 83488 that divides 83472 without a remainder.

1, 2, 4, 8, 16, 32, 2609, 5218, 10436, 20872, 41744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83472 and 83488. The biggest common factor number is the GCF number.
So the greatest common factor 83472 and 83488 is 16.

Also check out the Least Common Multiple of 83472 and 83488