What is the Greatest Common Factor of 83424 and 83433?

Greatest common factor (GCF) of 83424 and 83433 is 3.

GCF(83424,83433) = 3

We will now calculate the prime factors of 83424 and 83433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83424 and 83433.

How to find the GCF of 83424 and 83433?

We will first find the prime factorization of 83424 and 83433. After we will calculate the factors of 83424 and 83433 and find the biggest common factor number .

Step-1: Prime Factorization of 83424

Prime factors of 83424 are 2, 3, 11, 79. Prime factorization of 83424 in exponential form is:

83424 = 2⁵ × 3¹ × 11¹ × 79¹

Step-2: Prime Factorization of 83433

Prime factors of 83433 are 3, 7, 29, 137. Prime factorization of 83433 in exponential form is:

83433 = 3¹ × 7¹ × 29¹ × 137¹

Step-3: Factors of 83424

List of positive integer factors of 83424 that divides 83424 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 79, 88, 96, 132, 158, 176, 237, 264, 316, 352, 474, 528, 632, 869, 948, 1056, 1264, 1738, 1896, 2528, 2607, 3476, 3792, 5214, 6952, 7584, 10428, 13904, 20856, 27808, 41712

Step-4: Factors of 83433

List of positive integer factors of 83433 that divides 83424 without a remainder.

1, 3, 7, 21, 29, 87, 137, 203, 411, 609, 959, 2877, 3973, 11919, 27811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83424 and 83433. The biggest common factor number is the GCF number.
So the greatest common factor 83424 and 83433 is 3.

Also check out the Least Common Multiple of 83424 and 83433