What is the Greatest Common Factor of 85998 and 86009?

Greatest common factor (GCF) of 85998 and 86009 is 11.

GCF(85998,86009) = 11

We will now calculate the prime factors of 85998 and 86009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85998 and 86009.

How to find the GCF of 85998 and 86009?

We will first find the prime factorization of 85998 and 86009. After we will calculate the factors of 85998 and 86009 and find the biggest common factor number .

Step-1: Prime Factorization of 85998

Prime factors of 85998 are 2, 3, 11, 1303. Prime factorization of 85998 in exponential form is:

85998 = 2¹ × 3¹ × 11¹ × 1303¹

Step-2: Prime Factorization of 86009

Prime factors of 86009 are 7, 11, 1117. Prime factorization of 86009 in exponential form is:

86009 = 7¹ × 11¹ × 1117¹

Step-3: Factors of 85998

List of positive integer factors of 85998 that divides 85998 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1303, 2606, 3909, 7818, 14333, 28666, 42999

Step-4: Factors of 86009

List of positive integer factors of 86009 that divides 85998 without a remainder.

1, 7, 11, 77, 1117, 7819, 12287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85998 and 86009. The biggest common factor number is the GCF number.
So the greatest common factor 85998 and 86009 is 11.

Also check out the Least Common Multiple of 85998 and 86009