What is the Greatest Common Factor of 84672 and 84683?

Greatest common factor (GCF) of 84672 and 84683 is 1.

GCF(84672,84683) = 1

We will now calculate the prime factors of 84672 and 84683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84672 and 84683.

How to find the GCF of 84672 and 84683?

We will first find the prime factorization of 84672 and 84683. After we will calculate the factors of 84672 and 84683 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 84683

Prime factors of 84683 are 19, 4457. Prime factorization of 84683 in exponential form is:

84683 = 19¹ × 4457¹

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 84683

List of positive integer factors of 84683 that divides 84672 without a remainder.

1, 19, 4457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84672 and 84683. The biggest common factor number is the GCF number.
So the greatest common factor 84672 and 84683 is 1.

Also check out the Least Common Multiple of 84672 and 84683