What is the Greatest Common Factor of 86674 and 86688?

Greatest common factor (GCF) of 86674 and 86688 is 14.

GCF(86674,86688) = 14

We will now calculate the prime factors of 86674 and 86688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86674 and 86688.

How to find the GCF of 86674 and 86688?

We will first find the prime factorization of 86674 and 86688. After we will calculate the factors of 86674 and 86688 and find the biggest common factor number .

Step-1: Prime Factorization of 86674

Prime factors of 86674 are 2, 7, 41, 151. Prime factorization of 86674 in exponential form is:

86674 = 2¹ × 7¹ × 41¹ × 151¹

Step-2: 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-3: Factors of 86674

List of positive integer factors of 86674 that divides 86674 without a remainder.

1, 2, 7, 14, 41, 82, 151, 287, 302, 574, 1057, 2114, 6191, 12382, 43337

Step-4: Factors of 86688

List of positive integer factors of 86688 that divides 86674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86674 and 86688. The biggest common factor number is the GCF number.
So the greatest common factor 86674 and 86688 is 14.

Also check out the Least Common Multiple of 86674 and 86688