What is the Greatest Common Factor of 81984 and 81989?

Greatest common factor (GCF) of 81984 and 81989 is 1.

GCF(81984,81989) = 1

We will now calculate the prime factors of 81984 and 81989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81984 and 81989.

How to find the GCF of 81984 and 81989?

We will first find the prime factorization of 81984 and 81989. After we will calculate the factors of 81984 and 81989 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 81989

Prime factors of 81989 are 163, 503. Prime factorization of 81989 in exponential form is:

81989 = 163¹ × 503¹

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 81989

List of positive integer factors of 81989 that divides 81984 without a remainder.

1, 163, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81984 and 81989. The biggest common factor number is the GCF number.
So the greatest common factor 81984 and 81989 is 1.

Also check out the Least Common Multiple of 81984 and 81989