What is the Greatest Common Factor of 81984 and 81988?

Greatest common factor (GCF) of 81984 and 81988 is 4.

GCF(81984,81988) = 4

We will now calculate the prime factors of 81984 and 81988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81984 and 81988.

How to find the GCF of 81984 and 81988?

We will first find the prime factorization of 81984 and 81988. After we will calculate the factors of 81984 and 81988 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 81988

Prime factors of 81988 are 2, 103, 199. Prime factorization of 81988 in exponential form is:

81988 = 2² × 103¹ × 199¹

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 81988

List of positive integer factors of 81988 that divides 81984 without a remainder.

1, 2, 4, 103, 199, 206, 398, 412, 796, 20497, 40994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81984 and 81988. The biggest common factor number is the GCF number.
So the greatest common factor 81984 and 81988 is 4.

Also check out the Least Common Multiple of 81984 and 81988