What is the Greatest Common Factor of 84672 and 84687?

Greatest common factor (GCF) of 84672 and 84687 is 3.

GCF(84672,84687) = 3

We will now calculate the prime factors of 84672 and 84687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84672 and 84687.

How to find the GCF of 84672 and 84687?

We will first find the prime factorization of 84672 and 84687. After we will calculate the factors of 84672 and 84687 and find the biggest common factor number .

Step-1: Prime Factorization of 84672

Prime factors of 84672 are 2, 3, 7. Prime factorization of 84672 in exponential form is:

84672 = 2⁶ × 3³ × 7²

Step-2: Prime Factorization of 84687

Prime factors of 84687 are 3, 28229. Prime factorization of 84687 in exponential form is:

84687 = 3¹ × 28229¹

Step-3: Factors of 84672

List of positive integer factors of 84672 that divides 84672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 49, 54, 56, 63, 64, 72, 84, 96, 98, 108, 112, 126, 144, 147, 168, 189, 192, 196, 216, 224, 252, 288, 294, 336, 378, 392, 432, 441, 448, 504, 576, 588, 672, 756, 784, 864, 882, 1008, 1176, 1323, 1344, 1512, 1568, 1728, 1764, 2016, 2352, 2646, 3024, 3136, 3528, 4032, 4704, 5292, 6048, 7056, 9408, 10584, 12096, 14112, 21168, 28224, 42336

Step-4: Factors of 84687

List of positive integer factors of 84687 that divides 84672 without a remainder.

1, 3, 28229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84672 and 84687. The biggest common factor number is the GCF number.
So the greatest common factor 84672 and 84687 is 3.

Also check out the Least Common Multiple of 84672 and 84687