What is the Greatest Common Factor of 98766 and 98784?

Greatest common factor (GCF) of 98766 and 98784 is 18.

GCF(98766,98784) = 18

We will now calculate the prime factors of 98766 and 98784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98766 and 98784.

How to find the GCF of 98766 and 98784?

We will first find the prime factorization of 98766 and 98784. After we will calculate the factors of 98766 and 98784 and find the biggest common factor number .

Step-1: Prime Factorization of 98766

Prime factors of 98766 are 2, 3, 31, 59. Prime factorization of 98766 in exponential form is:

98766 = 2¹ × 3³ × 31¹ × 59¹

Step-2: Prime Factorization of 98784

Prime factors of 98784 are 2, 3, 7. Prime factorization of 98784 in exponential form is:

98784 = 2⁵ × 3² × 7³

Step-3: Factors of 98766

List of positive integer factors of 98766 that divides 98766 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 59, 62, 93, 118, 177, 186, 279, 354, 531, 558, 837, 1062, 1593, 1674, 1829, 3186, 3658, 5487, 10974, 16461, 32922, 49383

Step-4: Factors of 98784

List of positive integer factors of 98784 that divides 98766 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 72, 84, 96, 98, 112, 126, 144, 147, 168, 196, 224, 252, 288, 294, 336, 343, 392, 441, 504, 588, 672, 686, 784, 882, 1008, 1029, 1176, 1372, 1568, 1764, 2016, 2058, 2352, 2744, 3087, 3528, 4116, 4704, 5488, 6174, 7056, 8232, 10976, 12348, 14112, 16464, 24696, 32928, 49392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98766 and 98784. The biggest common factor number is the GCF number.
So the greatest common factor 98766 and 98784 is 18.

Also check out the Least Common Multiple of 98766 and 98784