What is the Greatest Common Factor of 81984 and 81998?

Greatest common factor (GCF) of 81984 and 81998 is 14.

GCF(81984,81998) = 14

We will now calculate the prime factors of 81984 and 81998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81984 and 81998.

How to find the GCF of 81984 and 81998?

We will first find the prime factorization of 81984 and 81998. After we will calculate the factors of 81984 and 81998 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 81998

Prime factors of 81998 are 2, 7, 5857. Prime factorization of 81998 in exponential form is:

81998 = 2¹ × 7¹ × 5857¹

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 81998

List of positive integer factors of 81998 that divides 81984 without a remainder.

1, 2, 7, 14, 5857, 11714, 40999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81984 and 81998. The biggest common factor number is the GCF number.
So the greatest common factor 81984 and 81998 is 14.

Also check out the Least Common Multiple of 81984 and 81998