What is the Greatest Common Factor of 81984 and 81993?

Greatest common factor (GCF) of 81984 and 81993 is 3.

GCF(81984,81993) = 3

We will now calculate the prime factors of 81984 and 81993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81984 and 81993.

How to find the GCF of 81984 and 81993?

We will first find the prime factorization of 81984 and 81993. After we will calculate the factors of 81984 and 81993 and find the biggest common factor number .

Step-1: Prime Factorization of 81984

Prime factors of 81984 are 2, 3, 7, 61. Prime factorization of 81984 in exponential form is:

81984 = 2⁶ × 3¹ × 7¹ × 61¹

Step-2: Prime Factorization of 81993

Prime factors of 81993 are 3, 151, 181. Prime factorization of 81993 in exponential form is:

81993 = 3¹ × 151¹ × 181¹

Step-3: Factors of 81984

List of positive integer factors of 81984 that divides 81984 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 61, 64, 84, 96, 112, 122, 168, 183, 192, 224, 244, 336, 366, 427, 448, 488, 672, 732, 854, 976, 1281, 1344, 1464, 1708, 1952, 2562, 2928, 3416, 3904, 5124, 5856, 6832, 10248, 11712, 13664, 20496, 27328, 40992

Step-4: Factors of 81993

List of positive integer factors of 81993 that divides 81984 without a remainder.

1, 3, 151, 181, 453, 543, 27331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81984 and 81993. The biggest common factor number is the GCF number.
So the greatest common factor 81984 and 81993 is 3.

Also check out the Least Common Multiple of 81984 and 81993