What is the Greatest Common Factor of 84672 and 84688?

Greatest common factor (GCF) of 84672 and 84688 is 16.

GCF(84672,84688) = 16

We will now calculate the prime factors of 84672 and 84688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84672 and 84688.

How to find the GCF of 84672 and 84688?

We will first find the prime factorization of 84672 and 84688. After we will calculate the factors of 84672 and 84688 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 84688

Prime factors of 84688 are 2, 67, 79. Prime factorization of 84688 in exponential form is:

84688 = 2⁴ × 67¹ × 79¹

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 84688

List of positive integer factors of 84688 that divides 84672 without a remainder.

1, 2, 4, 8, 16, 67, 79, 134, 158, 268, 316, 536, 632, 1072, 1264, 5293, 10586, 21172, 42344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84672 and 84688. The biggest common factor number is the GCF number.
So the greatest common factor 84672 and 84688 is 16.

Also check out the Least Common Multiple of 84672 and 84688