What is the Greatest Common Factor of 86671 and 86688?

Greatest common factor (GCF) of 86671 and 86688 is 1.

GCF(86671,86688) = 1

We will now calculate the prime factors of 86671 and 86688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86671 and 86688.

How to find the GCF of 86671 and 86688?

We will first find the prime factorization of 86671 and 86688. After we will calculate the factors of 86671 and 86688 and find the biggest common factor number .

Step-1: Prime Factorization of 86671

Prime factors of 86671 are 13, 59, 113. Prime factorization of 86671 in exponential form is:

86671 = 13¹ × 59¹ × 113¹

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 86671

List of positive integer factors of 86671 that divides 86671 without a remainder.

1, 13, 59, 113, 767, 1469, 6667

Step-4: Factors of 86688

List of positive integer factors of 86688 that divides 86671 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 86671 and 86688. The biggest common factor number is the GCF number.
So the greatest common factor 86671 and 86688 is 1.

Also check out the Least Common Multiple of 86671 and 86688