What is the Greatest Common Factor of 83472 and 83484?

Greatest common factor (GCF) of 83472 and 83484 is 12.

GCF(83472,83484) = 12

We will now calculate the prime factors of 83472 and 83484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83472 and 83484.

How to find the GCF of 83472 and 83484?

We will first find the prime factorization of 83472 and 83484. After we will calculate the factors of 83472 and 83484 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 83484

Prime factors of 83484 are 2, 3, 773. Prime factorization of 83484 in exponential form is:

83484 = 2² × 3³ × 773¹

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 83484

List of positive integer factors of 83484 that divides 83472 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914, 20871, 27828, 41742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83472 and 83484. The biggest common factor number is the GCF number.
So the greatest common factor 83472 and 83484 is 12.

Also check out the Least Common Multiple of 83472 and 83484