What is the Greatest Common Factor of 86688 and 86702?

Greatest common factor (GCF) of 86688 and 86702 is 14.

GCF(86688,86702) = 14

We will now calculate the prime factors of 86688 and 86702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86688 and 86702.

How to find the GCF of 86688 and 86702?

We will first find the prime factorization of 86688 and 86702. After we will calculate the factors of 86688 and 86702 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 86702

Prime factors of 86702 are 2, 7, 11, 563. Prime factorization of 86702 in exponential form is:

86702 = 2¹ × 7¹ × 11¹ × 563¹

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 86702

List of positive integer factors of 86702 that divides 86688 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 563, 1126, 3941, 6193, 7882, 12386, 43351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86688 and 86702. The biggest common factor number is the GCF number.
So the greatest common factor 86688 and 86702 is 14.

Also check out the Least Common Multiple of 86688 and 86702