What is the Greatest Common Factor of 98772 and 98784?

Greatest common factor (GCF) of 98772 and 98784 is 12.

GCF(98772,98784) = 12

We will now calculate the prime factors of 98772 and 98784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98772 and 98784.

How to find the GCF of 98772 and 98784?

We will first find the prime factorization of 98772 and 98784. After we will calculate the factors of 98772 and 98784 and find the biggest common factor number .

Step-1: Prime Factorization of 98772

Prime factors of 98772 are 2, 3, 8231. Prime factorization of 98772 in exponential form is:

98772 = 2² × 3¹ × 8231¹

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 98772

List of positive integer factors of 98772 that divides 98772 without a remainder.

1, 2, 3, 4, 6, 12, 8231, 16462, 24693, 32924, 49386

Step-4: Factors of 98784

List of positive integer factors of 98784 that divides 98772 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 98772 and 98784. The biggest common factor number is the GCF number.
So the greatest common factor 98772 and 98784 is 12.

Also check out the Least Common Multiple of 98772 and 98784