What is the Greatest Common Factor of 86989 and 87006?

Greatest common factor (GCF) of 86989 and 87006 is 17.

GCF(86989,87006) = 17

We will now calculate the prime factors of 86989 and 87006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86989 and 87006.

How to find the GCF of 86989 and 87006?

We will first find the prime factorization of 86989 and 87006. After we will calculate the factors of 86989 and 87006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87006

Prime factors of 87006 are 2, 3, 17, 853. Prime factorization of 87006 in exponential form is:

87006 = 2¹ × 3¹ × 17¹ × 853¹

Step-3: Factors of 86989

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

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

Step-4: Factors of 87006

List of positive integer factors of 87006 that divides 86989 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 853, 1706, 2559, 5118, 14501, 29002, 43503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86989 and 87006. The biggest common factor number is the GCF number.
So the greatest common factor 86989 and 87006 is 17.

Also check out the Least Common Multiple of 86989 and 87006