What is the Greatest Common Factor of 86688 and 86704?

Greatest common factor (GCF) of 86688 and 86704 is 16.

GCF(86688,86704) = 16

We will now calculate the prime factors of 86688 and 86704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86688 and 86704.

How to find the GCF of 86688 and 86704?

We will first find the prime factorization of 86688 and 86704. After we will calculate the factors of 86688 and 86704 and find the biggest common factor number .

Step-1: Prime Factorization of 86688

Prime factors of 86688 are 2, 3, 7, 43. Prime factorization of 86688 in exponential form is:

86688 = 2⁵ × 3² × 7¹ × 43¹

Step-2: Prime Factorization of 86704

Prime factors of 86704 are 2, 5419. Prime factorization of 86704 in exponential form is:

86704 = 2⁴ × 5419¹

Step-3: Factors of 86688

List of positive integer factors of 86688 that divides 86688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 43, 48, 56, 63, 72, 84, 86, 96, 112, 126, 129, 144, 168, 172, 224, 252, 258, 288, 301, 336, 344, 387, 504, 516, 602, 672, 688, 774, 903, 1008, 1032, 1204, 1376, 1548, 1806, 2016, 2064, 2408, 2709, 3096, 3612, 4128, 4816, 5418, 6192, 7224, 9632, 10836, 12384, 14448, 21672, 28896, 43344

Step-4: Factors of 86704

List of positive integer factors of 86704 that divides 86688 without a remainder.

1, 2, 4, 8, 16, 5419, 10838, 21676, 43352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86688 and 86704. The biggest common factor number is the GCF number.
So the greatest common factor 86688 and 86704 is 16.

Also check out the Least Common Multiple of 86688 and 86704