What is the Greatest Common Factor of 86808 and 86817?

Greatest common factor (GCF) of 86808 and 86817 is 3.

GCF(86808,86817) = 3

We will now calculate the prime factors of 86808 and 86817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86808 and 86817.

How to find the GCF of 86808 and 86817?

We will first find the prime factorization of 86808 and 86817. After we will calculate the factors of 86808 and 86817 and find the biggest common factor number .

Step-1: Prime Factorization of 86808

Prime factors of 86808 are 2, 3, 3617. Prime factorization of 86808 in exponential form is:

86808 = 2³ × 3¹ × 3617¹

Step-2: Prime Factorization of 86817

Prime factors of 86817 are 3, 43, 673. Prime factorization of 86817 in exponential form is:

86817 = 3¹ × 43¹ × 673¹

Step-3: Factors of 86808

List of positive integer factors of 86808 that divides 86808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3617, 7234, 10851, 14468, 21702, 28936, 43404

Step-4: Factors of 86817

List of positive integer factors of 86817 that divides 86808 without a remainder.

1, 3, 43, 129, 673, 2019, 28939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86808 and 86817. The biggest common factor number is the GCF number.
So the greatest common factor 86808 and 86817 is 3.

Also check out the Least Common Multiple of 86808 and 86817