What is the Greatest Common Factor of 86976 and 86989?

Greatest common factor (GCF) of 86976 and 86989 is 1.

GCF(86976,86989) = 1

We will now calculate the prime factors of 86976 and 86989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86976 and 86989.

How to find the GCF of 86976 and 86989?

We will first find the prime factorization of 86976 and 86989. After we will calculate the factors of 86976 and 86989 and find the biggest common factor number .

Step-1: Prime Factorization of 86976

Prime factors of 86976 are 2, 3, 151. Prime factorization of 86976 in exponential form is:

86976 = 2⁶ × 3² × 151¹

Step-2: Prime Factorization of 86989

Prime factors of 86989 are 7, 17, 43. Prime factorization of 86989 in exponential form is:

86989 = 7¹ × 17² × 43¹

Step-3: Factors of 86976

List of positive integer factors of 86976 that divides 86976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 151, 192, 288, 302, 453, 576, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4832, 5436, 7248, 9664, 10872, 14496, 21744, 28992, 43488

Step-4: Factors of 86989

List of positive integer factors of 86989 that divides 86976 without a remainder.

1, 7, 17, 43, 119, 289, 301, 731, 2023, 5117, 12427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86976 and 86989. The biggest common factor number is the GCF number.
So the greatest common factor 86976 and 86989 is 1.

Also check out the Least Common Multiple of 86976 and 86989