What is the Greatest Common Factor of 82944 and 82960?

Greatest common factor (GCF) of 82944 and 82960 is 16.

GCF(82944,82960) = 16

We will now calculate the prime factors of 82944 and 82960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82944 and 82960.

How to find the GCF of 82944 and 82960?

We will first find the prime factorization of 82944 and 82960. After we will calculate the factors of 82944 and 82960 and find the biggest common factor number .

Step-1: Prime Factorization of 82944

Prime factors of 82944 are 2, 3. Prime factorization of 82944 in exponential form is:

82944 = 2¹⁰ × 3⁴

Step-2: Prime Factorization of 82960

Prime factors of 82960 are 2, 5, 17, 61. Prime factorization of 82960 in exponential form is:

82960 = 2⁴ × 5¹ × 17¹ × 61¹

Step-3: Factors of 82944

List of positive integer factors of 82944 that divides 82944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 512, 576, 648, 768, 864, 1024, 1152, 1296, 1536, 1728, 2304, 2592, 3072, 3456, 4608, 5184, 6912, 9216, 10368, 13824, 20736, 27648, 41472

Step-4: Factors of 82960

List of positive integer factors of 82960 that divides 82944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 61, 68, 80, 85, 122, 136, 170, 244, 272, 305, 340, 488, 610, 680, 976, 1037, 1220, 1360, 2074, 2440, 4148, 4880, 5185, 8296, 10370, 16592, 20740, 41480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82944 and 82960. The biggest common factor number is the GCF number.
So the greatest common factor 82944 and 82960 is 16.

Also check out the Least Common Multiple of 82944 and 82960