What is the Greatest Common Factor of 86668 and 86688?

Greatest common factor (GCF) of 86668 and 86688 is 4.

GCF(86668,86688) = 4

We will now calculate the prime factors of 86668 and 86688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86668 and 86688.

How to find the GCF of 86668 and 86688?

We will first find the prime factorization of 86668 and 86688. After we will calculate the factors of 86668 and 86688 and find the biggest common factor number .

Step-1: Prime Factorization of 86668

Prime factors of 86668 are 2, 47, 461. Prime factorization of 86668 in exponential form is:

86668 = 2² × 47¹ × 461¹

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 86668

List of positive integer factors of 86668 that divides 86668 without a remainder.

1, 2, 4, 47, 94, 188, 461, 922, 1844, 21667, 43334

Step-4: Factors of 86688

List of positive integer factors of 86688 that divides 86668 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 86668 and 86688. The biggest common factor number is the GCF number.
So the greatest common factor 86668 and 86688 is 4.

Also check out the Least Common Multiple of 86668 and 86688