What is the Greatest Common Factor of 84657 and 84672?

Greatest common factor (GCF) of 84657 and 84672 is 3.

GCF(84657,84672) = 3

We will now calculate the prime factors of 84657 and 84672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84657 and 84672.

How to find the GCF of 84657 and 84672?

We will first find the prime factorization of 84657 and 84672. After we will calculate the factors of 84657 and 84672 and find the biggest common factor number .

Step-1: Prime Factorization of 84657

Prime factors of 84657 are 3, 28219. Prime factorization of 84657 in exponential form is:

84657 = 3¹ × 28219¹

Step-2: 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-3: Factors of 84657

List of positive integer factors of 84657 that divides 84657 without a remainder.

1, 3, 28219

Step-4: Factors of 84672

List of positive integer factors of 84672 that divides 84657 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84657 and 84672. The biggest common factor number is the GCF number.
So the greatest common factor 84657 and 84672 is 3.

Also check out the Least Common Multiple of 84657 and 84672