What is the Greatest Common Factor of 81966 and 81984?

Greatest common factor (GCF) of 81966 and 81984 is 6.

GCF(81966,81984) = 6

We will now calculate the prime factors of 81966 and 81984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81966 and 81984.

How to find the GCF of 81966 and 81984?

We will first find the prime factorization of 81966 and 81984. After we will calculate the factors of 81966 and 81984 and find the biggest common factor number .

Step-1: Prime Factorization of 81966

Prime factors of 81966 are 2, 3, 19, 719. Prime factorization of 81966 in exponential form is:

81966 = 2¹ × 3¹ × 19¹ × 719¹

Step-2: 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-3: Factors of 81966

List of positive integer factors of 81966 that divides 81966 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 719, 1438, 2157, 4314, 13661, 27322, 40983

Step-4: Factors of 81984

List of positive integer factors of 81984 that divides 81966 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81966 and 81984. The biggest common factor number is the GCF number.
So the greatest common factor 81966 and 81984 is 6.

Also check out the Least Common Multiple of 81966 and 81984