What is the Greatest Common Factor of 83424 and 83440?

Greatest common factor (GCF) of 83424 and 83440 is 16.

GCF(83424,83440) = 16

We will now calculate the prime factors of 83424 and 83440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83424 and 83440.

How to find the GCF of 83424 and 83440?

We will first find the prime factorization of 83424 and 83440. After we will calculate the factors of 83424 and 83440 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 83440

Prime factors of 83440 are 2, 5, 7, 149. Prime factorization of 83440 in exponential form is:

83440 = 2⁴ × 5¹ × 7¹ × 149¹

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 83440

List of positive integer factors of 83440 that divides 83424 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 149, 280, 298, 560, 596, 745, 1043, 1192, 1490, 2086, 2384, 2980, 4172, 5215, 5960, 8344, 10430, 11920, 16688, 20860, 41720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83424 and 83440. The biggest common factor number is the GCF number.
So the greatest common factor 83424 and 83440 is 16.

Also check out the Least Common Multiple of 83424 and 83440